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      <video:thumbnail_loc>https://prepshorts.com/poster/g09-maths-ch05-m02-t02-1280.e48831bc36.jpg</video:thumbnail_loc>
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      <video:title>Chord length and distance from the centre</video:title>
      <video:description>NCERT Class 9 Maths Ganita Manjari, Chapter 5. A chord carries two numbers: how long it is, and how far it stands from the centre.</video:description>
      <video:content_loc>https://prepshorts.com/v/g09-maths-ch05-m03-t03/index.m3u8</video:content_loc>
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      <video:thumbnail_loc>https://prepshorts.com/poster/g09-maths-ch05-m03-t03-1280.70b70d91b7.jpg</video:thumbnail_loc>
      <video:title>Class 9 Maths Ch 5 in Hindi · लंबाई और centre से दूरी एक ही</video:title>
      <video:description>NCERT Class 9 Maths Chapter 5 in Hindi · कक्षा 9, अध्याय 5, हिंदी में. Length and distance from the centre are the same fact twice (Theorems 6–8).</video:description>
      <video:content_loc>https://prepshorts.com/v/g09-maths-ch05-m03-t03/index.m3u8</video:content_loc>
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      <video:title>Why a central angle is double the inscribed one</video:title>
      <video:description>NCERT Class 9 Maths Ganita Manjari, Chapter 5. Two points cut a circle into two arcs, so “the angle of arc AB” has not said which.</video:description>
      <video:content_loc>https://prepshorts.com/v/g09-maths-ch05-m04-t01/index.m3u8</video:content_loc>
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      <video:title>Class 9 Maths Ch 5 in Hindi · दीर्घ और लघु चाप</video:title>
      <video:description>NCERT Class 9 Maths Chapter 5 in Hindi · कक्षा 9, अध्याय 5, हिंदी में. circle पर 2 points रखिए और उनके बीच चलिए — छोटे रास्ते से…</video:description>
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      <video:duration>536</video:duration>
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      <video:title>Equal angles in the same segment</video:title>
      <video:description>NCERT Class 9 Maths Ganita Manjari, Chapter 5. An arc's angle at the centre is fixed by the arc alone. That much is the doubling relation.</video:description>
      <video:content_loc>https://prepshorts.com/v/g09-maths-ch05-m04-t02/index.m3u8</video:content_loc>
      <video:duration>556</video:duration>
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      <video:content_loc>https://prepshorts.com/v/g09-maths-ch05-m04-t02/index.m3u8</video:content_loc>
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      <video:title>Why a diameter subtends a right angle</video:title>
      <video:description>NCERT Class 9 Maths Ganita Manjari, Chapter 5. The right angle in a semicircle is not a discovery. Say what a corollary is, in the sense the chapter defines.</video:description>
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      <video:description>NCERT Class 9 Maths Ganita Manjari, Chapter 5. Every point of one arc sees a chord at the same angle. The half that matters is that no other point does.</video:description>
      <video:content_loc>https://prepshorts.com/v/g09-maths-ch05-m04-t04/index.m3u8</video:content_loc>
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  <url><loc>https://prepshorts.com/learn/class-9/maths/im-up-and-down-and-round-and-round/off-the-circle-the-angle-changes-points-inside-and-outside/hi</loc><lastmod>2026-09-29</lastmod>
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      <video:description>NCERT Class 9 Maths Chapter 5 in Hindi · कक्षा 9, अध्याय 5, हिंदी में. Off the circle the angle changes: points inside and outside compared (Fig. 5.25).</video:description>
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  <url><loc>https://prepshorts.com/learn/class-9/maths/im-up-and-down-and-round-and-round/equal-angles-on-the-same-side-force-concyclicity-theorem-10</loc><lastmod>2026-09-29</lastmod>
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      <video:description>NCERT Class 10 Maths, Ch 14. Ask a die for an 8 and every outcome gets crossed off — nought over six, not a comment on luck but a count with nothing in it.</video:description>
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      <video:title>Getting the denominator right</video:title>
      <video:description>NCERT Class 10 Maths, Chapter 14. Two coins do not give three results. Total the contents of a bag, box, bank or lot to obtain that denominator.</video:description>
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      <video:title>Listing the members versus stating the property they share</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 1. A set can be written two ways: list the members, or state the property they share.</video:description>
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      <video:title>A set with nothing in it, and sets you cannot finish listing</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 1. Two collections of students. One has a number nobody has ever counted. Then the name.</video:description>
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      <video:title>Why order and repetition do not change a set</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 1. One, two, three, four. And three, one, four, two. Same set, or different? Stop there and you say equal.</video:description>
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      <video:description>NCERT Class 11 Maths, Chapter 1. Is the set holding the number one inside the set holding the SET holding one?</video:description>
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      <video:description>NCERT Class 11 Maths, Chapter 1. Which numbers are not even? State what role the universal set plays and why it is chosen rather than derived.</video:description>
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      <video:title>Turning a claim about sets into a picture you can read off</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 1. Two overlapping circles get drawn in every course on sets, and almost everyone treats them as a sketch beside the real work.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch01-m03-t01/index.m3u8</video:content_loc>
      <video:duration>714</video:duration>
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      <video:title>Union, intersection and disjoint sets</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 1. Union and intersection are usually taught as two new things a set can do. Each is answered with a pair you can point at.</video:description>
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      <video:title>Set difference and complement</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 1. Remove {2, 4, 6, 8} from {1, 2, 3, 4, 5, 6} and three numbers survive; the other way round, only one does.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch01-m03-t03/index.m3u8</video:content_loc>
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      <video:description>NCERT Class 11 Maths, Chapter 1. Outside {2, 3} and outside {3, 4, 5}, together, name exactly {1, 6} — same as the complement of their union.</video:description>
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      <video:description>NCERT Class 11 Maths, Chapter 2. Two sets of size three and four cross into twelve pairs either way round — same count, almost never the same set.</video:description>
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      <video:title>A relation is nothing more than a chosen part of the product</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 2. Three letters, five names, fifteen possible pairings — one sentence keeps four of them. The relation is not the sentence.</video:description>
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      <video:duration>841</video:duration>
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      <video:title>Why testing values is not a method</video:title>
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      <video:title>The one rule inequalities do not share</video:title>
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      <video:title>Fundamental principle of counting: why we multiply</video:title>
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      <video:description>NCERT Class 11 Maths, Chapter 6. A shorthand for descending products, and why the empty product is set to one.</video:description>
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      <video:title>The formula for nPr, with and without repeats</video:title>
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      <video:thumbnail_loc>https://prepshorts.com/poster/g11-maths-ch06-m03-t01-1280.9cd570331b.jpg</video:thumbnail_loc>
      <video:title>Every selection was counted once per arrangement of itself</video:title>
      <video:description>Class 11 Maths, Ch 6. Three players, two chosen for a team: counting with order gives six rows, but X-then-Y and Y-then-X are one team wearing two names.</video:description>
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      <video:title>Pascal's rule, and choosing what to leave out</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 6. Circling three objects out of five, in the same movement, names the two left behind.</video:description>
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      <video:description>NCERT Class 11 Maths, Chapter 7. Rewriting the triangle with selection counts, so any row is reachable directly.</video:description>
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      <video:content_loc>https://prepshorts.com/v/g11-maths-ch08-m03-t01/index.m3u8</video:content_loc>
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    <video:video>
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      <video:title>Slopes of parallel and perpendicular lines</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 9. Equal slopes mean parallel; slopes multiplying to minus one mean perpendicular.</video:description>
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      <video:title>Recovering the angle between two lines from their two slopes</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 9. Two crossing lines make four angles, not one, in only two distinct sizes. Recover the obtuse angle from the acute one.</video:description>
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      <video:title>Lines parallel to the axes</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 9. y = 3 carries no x at all - not a missing ingredient, but a statement that the first coordinate is free.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch09-m02-t01/index.m3u8</video:content_loc>
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    <video:video>
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      <video:title>Point-slope and two-point forms of a line</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 9. Point-slope and two-point look like two formulas to remember. Derive the two-point equation from a collinearity statement.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch09-m02-t02/index.m3u8</video:content_loc>
      <video:duration>877</video:duration>
      <video:publication_date>2026-09-04</video:publication_date>
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    <video:video>
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      <video:title>Naming a line by where it crosses the axes</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 9. Naming a line by where it crosses the axes. Explain what the sign of the y-intercept records.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch09-m02-t03/index.m3u8</video:content_loc>
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      <video:title>The general form Ax + By + C = 0</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 9. Every slope-based way of writing a line refuses a vertical one. Test three lines given in general form for a common point.</video:description>
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      <video:title>Distance from a point to a line</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 9. The shortest route from a point to a line, read off its coefficients. A line is not one place.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch09-m03-t01/index.m3u8</video:content_loc>
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      <video:publication_date>2026-09-04</video:publication_date>
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      <video:title>Distance between two parallel lines</video:title>
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      <video:publication_date>2026-09-04</video:publication_date>
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      <video:title>One surface, four curves, chosen by the angle of the cut</video:title>
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      <video:content_loc>https://prepshorts.com/v/g11-maths-ch10-m01-t01/index.m3u8</video:content_loc>
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      <video:title>Cuts through the vertex, where the curve degenerates</video:title>
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    <video:video>
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      <video:title>Equation of a circle: how it is derived</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 10. A parabola's definition names a point and a line; an ellipse's and a hyperbola's each name two points.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch10-m02-t01/index.m3u8</video:content_loc>
      <video:duration>792</video:duration>
      <video:publication_date>2026-09-04</video:publication_date>
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      <video:description>NCERT Class 11 Maths Chapter 10 in Hindi · कक्षा 11, अध्याय 10, हिंदी में. Fixed distance from a fixed point, turned into an equation.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch10-m02-t01/index.m3u8</video:content_loc>
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      <video:title>Ellipse: the sum of distances from two foci</video:title>
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      <video:content_loc>https://prepshorts.com/v/g11-maths-ch10-m03-t03/index.m3u8</video:content_loc>
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      <video:content_loc>https://prepshorts.com/v/g11-maths-ch11-m01-t01/index.m3u8</video:content_loc>
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      <video:content_loc>https://prepshorts.com/v/g11-maths-ch11-m02-t01/index.m3u8</video:content_loc>
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      <video:title>3D coordinates of points on the axes and planes</video:title>
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      <video:title>Distance between two points in space</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 11. The distance formula in three dimensions looks like Pythagoras with an extra term stapled on.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch11-m03-t01/index.m3u8</video:content_loc>
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      <video:title>Limit vs function value: why they can differ</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 12. x squared minus 4, over x minus 2, has no value at x = 2, and a perfectly definite limit of 4 there all the same.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch12-m01-t03/index.m3u8</video:content_loc>
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      <video:title>Limits pass through sums, products and quotients</video:title>
      <video:description>Class 11 Maths, Ch 12. Almost everything you can compute about a limit rests on one rule: that if you know two limits, you know the limit of the combination.</video:description>
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      <video:title>The sandwich theorem for trigonometric limits</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 12. sin x over x, closing in on nothing, is a 0/0 no factorisation can touch - a sine is not built from powers of x.</video:description>
      <video:content_loc>https://prepshorts.com/v/g11-maths-ch12-m02-t03/index.m3u8</video:content_loc>
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      <video:title>The derivative as a limit of average rates</video:title>
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      <video:publication_date>2026-09-04</video:publication_date>
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      <video:title>Rules for differentiating a sum, a product and a quotient</video:title>
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      <video:publication_date>2026-09-04</video:publication_date>
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      <video:title>The power rule and the sum rule</video:title>
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      <video:description>Class 11 Maths. The exponential and the logarithm, their domains, ranges and graphs. State the domain and the range of the exponential function with base e.</video:description>
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      <video:description>Class 11 Maths, Ch 12. The inequality this whole topic rests on is stated and never proved - and the explanation says so rather than pretending otherwise.</video:description>
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      <video:duration>1213</video:duration>
      <video:publication_date>2026-09-04</video:publication_date>
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      <video:title>Why one average is not enough</video:title>
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      <video:title>Why deviations need their signs discarded</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 13. Signed deviations cancel to nothing, so the sign has to be discarded. A centre says WHERE a set of numbers sits.</video:description>
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      <video:title>The same procedure once the data arrive already grouped</video:title>
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      <video:title>Where this measure breaks down, and why another was needed</video:title>
      <video:description>NCERT Class 11 Maths, Chapter 13. The mean deviation is retired within a page of being defined, and the usual complaints barely matter.</video:description>
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      <video:title>Graphs of inverse trigonometric functions</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 2. Reading the graph of an inverse off the original by swapping the axes. Now the two things a dashed level is not.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch02-m01-t04/index.m3u8</video:content_loc>
      <video:duration>1114</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
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      <video:title>When sin(sin⁻¹x) = x, and when it does not</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 2. Two statements about inverse trigonometric functions sit one line apart and look like mirror images of each other.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch02-m02-t01/index.m3u8</video:content_loc>
      <video:duration>1202</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
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      <video:title>Simplifying by substituting an angle</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 2. Substituting an angle for the variable to collapse a messy expression. It is an angle waiting to be named.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch02-m02-t02/index.m3u8</video:content_loc>
      <video:duration>1381</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
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      <video:title>What a matrix is, and what its order tells you</video:title>
      <video:description>Class 12 Maths, Ch 3. The same six counts, poured into a three-by-two frame and into a two-by-three frame, hold the same data and are not the same object.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch03-m01-t01/index.m3u8</video:content_loc>
      <video:duration>1147</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/matrices/the-named-shapes-row-column-square-diagonal-scalar-identity</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch03-m01-t02-1280.7fa88dcdf2.jpg</video:thumbnail_loc>
      <video:title>Types of matrices: row, column, square, identity</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 3. Seven names for seven kinds of matrix arrive as a flat list, and they are not flat.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch03-m01-t02/index.m3u8</video:content_loc>
      <video:duration>1160</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch03-m01-t03-1280.26594d5ebd.jpg</video:thumbnail_loc>
      <video:title>When two matrices are equal</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 3. Two arrays holding exactly the same numbers, and they are not equal. The answer is no, and not by a narrow margin.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch03-m01-t03/index.m3u8</video:content_loc>
      <video:duration>1347</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/matrices/addition-and-scalar-multiplication-done-entry-by-entry-and</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch03-m02-t01-1280.c8009cf45d.jpg</video:thumbnail_loc>
      <video:title>Adding matrices, and multiplying by a scalar</video:title>
      <video:description>Class 12 Maths, Ch 3. Adding two matrices and scaling one are the same kind of rule - do one small thing at every position - and their domains are opposites.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch03-m02-t01/index.m3u8</video:content_loc>
      <video:duration>1275</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/matrices/the-laws-addition-and-scaling-obey-and-what-they-buy-you</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch03-m02-t02-1280.84b140f616.jpg</video:thumbnail_loc>
      <video:title>The laws addition and scaling obey, and what they buy you</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 3. The laws addition and scaling obey, and what they buy you. Say which ordinary-number fact each matrix law rests on.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch03-m02-t02/index.m3u8</video:content_loc>
      <video:duration>1276</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/matrices/row-into-column-why-multiplication-needs-the-inner-orders-to</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch03-m02-t03-1280.b4c087791e.jpg</video:thumbnail_loc>
      <video:title>Matrix multiplication, row into column</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 3. Two of the four numbers in a pair of orders meet in the middle, and two never meet anything.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch03-m02-t03/index.m3u8</video:content_loc>
      <video:duration>1077</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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  </url>
  <url><loc>https://prepshorts.com/learn/class-12/maths/matrices/what-multiplication-keeps-from-ordinary-algebra-and-the-two</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch03-m02-t04-1280.eab579599d.jpg</video:thumbnail_loc>
      <video:title>Why matrix multiplication is not commutative</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 3. What multiplication keeps from ordinary algebra, and the two things it loses.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch03-m02-t04/index.m3u8</video:content_loc>
      <video:duration>1165</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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    </video:video>
  </url>
  <url><loc>https://prepshorts.com/learn/class-12/maths/matrices/flipping-rows-into-columns-and-why-the-transpose-of-a</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch03-m03-t01-1280.55a52e02d2.jpg</video:thumbnail_loc>
      <video:title>Transpose of a matrix, and of a product</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 3. Flipping rows into columns, and why the transpose of a product reverses it. THE WHOLE DEFINITION IS ONE SWAP.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch03-m03-t01/index.m3u8</video:content_loc>
      <video:duration>1022</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/matrices/symmetric-and-skew-symmetric-and-splitting-any-square-matrix</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch03-m03-t02-1280.f7404c863a.jpg</video:thumbnail_loc>
      <video:title>Symmetric and skew symmetric matrices</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 3. Two conditions, one minus sign apart. Derive, rather than assert, that a skew symmetric matrix has zeros on its diagonal.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch03-m03-t02/index.m3u8</video:content_loc>
      <video:duration>1078</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/matrices/what-it-takes-to-be-an-inverse-and-why-there-can-only-ever</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch03-m03-t03-1280.3422e65eb2.jpg</video:thumbnail_loc>
      <video:title>Inverse of a matrix, and why it is unique</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 3. The definition of an inverse asks for two products, not one - and that second demand is not tidiness.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch03-m03-t03/index.m3u8</video:content_loc>
      <video:duration>1181</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/determinants/why-only-square-arrays-get-this-number-and-what-it-settles</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch04-m01-t01-1280.de2a269ae7.jpg</video:thumbnail_loc>
      <video:title>What a determinant is, and what it decides</video:title>
      <video:description>Class 12 Maths. Two straight lines either cross once, never meet, or lie on top of each other - and four coefficients settle which, before you solve anything.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch04-m01-t01/index.m3u8</video:content_loc>
      <video:duration>1035</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/determinants/orders-one-two-and-three-and-expanding-along-a-chosen-row</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch04-m01-t02-1280.a8f1ad905b.jpg</video:thumbnail_loc>
      <video:title>Orders one, two and three, and expanding along a chosen row</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 4. Order three is not a new formula. It is order two, used three times - and order two is order one, used twice.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch04-m01-t02/index.m3u8</video:content_loc>
      <video:duration>1294</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
      <video:live>no</video:live>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/determinants/area-of-a-triangle-from-its-vertices-and-why-three-collinear</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch04-m01-t03-1280.e0a46af84d.jpg</video:thumbnail_loc>
      <video:title>Area of a triangle from a determinant</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 4. The area of a triangle from its three corners is an expression nobody remembers and an array anybody can.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch04-m01-t03/index.m3u8</video:content_loc>
      <video:duration>1248</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/determinants/deleting-a-row-and-a-column-minors-and-the-sign-that-turns</loc><lastmod>2026-09-30</lastmod>
    <video:video>
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      <video:title>Minors and cofactors of a determinant</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 4. Nothing new is computed here. Say what the order of a minor is, given the order of the determinant it came from.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch04-m02-t01/index.m3u8</video:content_loc>
      <video:duration>1294</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/determinants/why-cofactors-borrowed-from-the-wrong-row-always-sum-to-zero</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch04-m02-t02-1280.2874092b15.jpg</video:thumbnail_loc>
      <video:title>Why alien cofactors sum to zero: determinants</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 4. Pair a line's entries with its own cofactors and you get the determinant. THE MISMATCHED SUM.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch04-m02-t02/index.m3u8</video:content_loc>
      <video:duration>1216</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
      <video:live>no</video:live>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/determinants/building-the-adjoint-and-why-it-multiplies-back-to-a-scalar</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch04-m02-t03-1280.a2cbcb59db.jpg</video:thumbnail_loc>
      <video:title>The adjoint of a matrix, and A(adj A) = |A|I</video:title>
      <video:description>Class 12 Maths, Ch 4. The adjoint looks like an arbitrary recipe: replace every entry by its cofactor, then flip the whole array about its main diagonal.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch04-m02-t03/index.m3u8</video:content_loc>
      <video:duration>1048</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
      <video:live>no</video:live>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/determinants/singular-against-non-singular-and-the-one-test-an-inverse</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch04-m02-t04-1280.b6f25a5bde.jpg</video:thumbnail_loc>
      <video:title>Singular and non-singular matrices</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 4. Singular against non-singular, and the one test an inverse has to pass. ONE NUMBER, AND NO THIRD CASE.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch04-m02-t04/index.m3u8</video:content_loc>
      <video:duration>1164</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
      <video:live>no</video:live>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/determinants/packing-three-equations-into-ax-b-and-reading-the-solution</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch04-m03-t01-1280.3e62489f70.jpg</video:thumbnail_loc>
      <video:title>Solving a linear system by matrix inverse</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 4. Three equations in three unknowns become one equation in one unknown the moment the unknown is allowed to be a column.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch04-m03-t01/index.m3u8</video:content_loc>
      <video:duration>1160</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/determinants/consistent-or-inconsistent-what-a-vanishing-determinant-does</loc><lastmod>2026-09-30</lastmod>
    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch04-m03-t02-1280.e4472b3c15.jpg</video:thumbnail_loc>
      <video:title>Consistent and inconsistent linear systems</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 4. A vanishing determinant is not a verdict. It is the loss of a tool. A ZERO THAT DECIDES LESS THAN IT LOOKS LIKE IT DECIDES.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch04-m03-t02/index.m3u8</video:content_loc>
      <video:duration>1005</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
      <video:family_friendly>yes</video:family_friendly>
      <video:requires_subscription>no</video:requires_subscription>
      <video:live>no</video:live>
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  <url><loc>https://prepshorts.com/learn/class-12/maths/continuity-and-differentiability/a-function-is-continuous-where-its-limit-and-its-value-agree</loc><lastmod>2026-09-30</lastmod>
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      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch05-m01-t01-1280.056878ec90.jpg</video:thumbnail_loc>
      <video:title>A function is continuous where its limit and its value agree</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 5. A function is continuous where its limit and its value agree. ONE EQUATION, THREE DEMANDS.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch05-m01-t01/index.m3u8</video:content_loc>
      <video:duration>969</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:content_loc>https://prepshorts.com/v/g12-maths-ch05-m01-t02/index.m3u8</video:content_loc>
      <video:duration>946</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Algebra of continuous functions, and composites</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 5. Combining continuous functions, and why a composite survives too. AN ARGUMENT FOR WHY, NOT A PROOF OF WHAT.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch05-m01-t03/index.m3u8</video:content_loc>
      <video:duration>912</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:content_loc>https://prepshorts.com/v/g12-maths-ch05-m02-t01/index.m3u8</video:content_loc>
      <video:duration>955</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>The chain rule, and implicit differentiation</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 5. The chain rule, and differentiating a relation without first solving it for y.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch05-m02-t02/index.m3u8</video:content_loc>
      <video:duration>1115</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Derivatives of inverse trigonometric functions</video:title>
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      <video:content_loc>https://prepshorts.com/v/g12-maths-ch05-m02-t03/index.m3u8</video:content_loc>
      <video:duration>1166</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
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      <video:title>Derivatives of the exponential and the logarithm</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 5. Exponential and logarithmic functions, and the two derivatives that make them worth having.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch05-m03-t01/index.m3u8</video:content_loc>
      <video:duration>1526</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch05-m03-t02-1280.42440a3088.jpg</video:thumbnail_loc>
      <video:title>Logarithmic differentiation</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 5. Taking logarithms first, when the base and the power both vary. NOTHING NEW IS BEING DIFFERENTIATED HERE.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch05-m03-t02/index.m3u8</video:content_loc>
      <video:duration>1460</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Derivatives of functions in parametric form</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 5. Curves given through a parameter, and the derivative recovered by the chain rule.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch05-m03-t03/index.m3u8</video:content_loc>
      <video:duration>1486</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch05-m03-t04-1280.0fca28650a.jpg</video:thumbnail_loc>
      <video:title>Differentiating twice, and what the second derivative is for</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 5. Differentiating twice, and what the second derivative is for. You will meet the function with two dashes after its name.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch05-m03-t04/index.m3u8</video:content_loc>
      <video:duration>2151</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>The derivative as a rate of change</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 6. Reading a derivative as how fast one quantity answers another. NOTHING NEW IS DEFINED IN THIS TOPIC.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch06-m01-t01/index.m3u8</video:content_loc>
      <video:duration>1513</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch06-m01-t02-1280.0dc6a7c038.jpg</video:thumbnail_loc>
      <video:title>Related rates, linked by the chain rule</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 6. Two quantities both changing with time, and the chain rule that links their rates.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch06-m01-t02/index.m3u8</video:content_loc>
      <video:duration>1364</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Increasing and decreasing functions</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 6. What increasing and decreasing mean on an interval, before any calculus. Here is a curve you have known for years.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch06-m02-t01/index.m3u8</video:content_loc>
      <video:duration>1108</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch06-m02-t02-1280.bfb030050d.jpg</video:thumbnail_loc>
      <video:title>Finding intervals where a function rises or falls</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 6. Using the sign of the derivative to split the line into rising and falling intervals.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch06-m02-t02/index.m3u8</video:content_loc>
      <video:duration>1165</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch06-m03-t01-1280.553a1338a2.jpg</video:thumbnail_loc>
      <video:title>Local maxima and minima, and critical points</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 6. Local maxima and minima, and why critical points include the non-differentiable ones.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch06-m03-t01/index.m3u8</video:content_loc>
      <video:duration>1261</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch06-m03-t02-1280.70283baa09.jpg</video:thumbnail_loc>
      <video:title>The first derivative test</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 6. A sign change either side of a critical point decides which kind it is. The word doing the work is THROUGHOUT.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch06-m03-t02/index.m3u8</video:content_loc>
      <video:duration>1246</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch06-m03-t03-1280.5ff0108e83.jpg</video:thumbnail_loc>
      <video:title>The second derivative test, and when it fails</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 6. The quicker second-derivative test, and the case where it tells you nothing. There is a shorter way, and it costs one number.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch06-m03-t03/index.m3u8</video:content_loc>
      <video:duration>1070</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch06-m03-t04-1280.125258e062.jpg</video:thumbnail_loc>
      <video:title>Absolute maximum and minimum on a closed interval</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 6. Largest and smallest over a closed interval: candidates inside plus the two ends.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch06-m03-t04/index.m3u8</video:content_loc>
      <video:duration>1188</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Setting up a maxima and minima word problem</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 6. Turning a stated problem into one function of one variable to optimise. The explanation spends itself on the first three.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch06-m03-t05/index.m3u8</video:content_loc>
      <video:duration>1273</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
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      <video:title>Integration as the inverse of differentiation</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 7. Asking which function had this derivative, and why the answer is a whole family.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m01-t01/index.m3u8</video:content_loc>
      <video:duration>1202</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch07-m01-t02-1280.bf5f8a0618.jpg</video:thumbnail_loc>
      <video:title>The table of standard integrals</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 7. Reading the table of standard integrals off the table of derivatives. NOTHING ON THE LIST OF STANDARD INTEGRALS IS NEW.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m01-t02/index.m3u8</video:content_loc>
      <video:duration>1219</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Properties of the indefinite integral</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 7. The two properties that let an integral be broken apart and rescaled. So the second statement has work to do.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m01-t03/index.m3u8</video:content_loc>
      <video:duration>988</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Changing the variable until what is left is a standard form</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 7. Changing the variable until what is left is a standard form. THE CHANGE OF VARIABLE IS MEASURED HERE, NOT QUOTED.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m02-t01/index.m3u8</video:content_loc>
      <video:duration>1194</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:description>NCERT Class 12 Maths, Chapter 7. Rewriting a product of trigonometric ratios into terms you can already integrate.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m02-t02/index.m3u8</video:content_loc>
      <video:duration>1120</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:duration>1044</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:description>NCERT Class 12 Maths, Chapter 7. Breaking a proper rational function into pieces with simple denominators. Three kinds of term, out of one decomposition.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m02-t04/index.m3u8</video:content_loc>
      <video:duration>1157</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Integration by parts, and choosing the first function</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 7. Integrating a product, and how the choice of first function decides whether it helps.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m02-t05/index.m3u8</video:content_loc>
      <video:duration>1492</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
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      <video:title>Two special integral forms worth recognising</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 7. Two shapes worth spotting: the exponential pair, and the three surd forms. That changes what you practise.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m02-t06/index.m3u8</video:content_loc>
      <video:duration>1326</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>The definite integral, and what the limits do</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 7. Adding two limits turns a family of functions into a single number. Name the two attached numbers as the chapter names them.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m03-t01/index.m3u8</video:content_loc>
      <video:duration>1355</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch07-m03-t02-1280.473bc81897.jpg</video:thumbnail_loc>
      <video:title>The fundamental theorem of calculus</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 7. The area function, and the two theorems that tie area to antiderivative. First, what the number actually measures.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m03-t02/index.m3u8</video:content_loc>
      <video:duration>1078</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch07-m03-t03-1280.478ddb5301.jpg</video:thumbnail_loc>
      <video:title>Substitution in a definite integral</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 7. Substituting inside a definite integral, and why the limits have to move with it.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m03-t03/index.m3u8</video:content_loc>
      <video:duration>924</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Properties of definite integrals, and symmetry</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 7. Properties of the definite integral, and using symmetry to kill half the work.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch07-m03-t04/index.m3u8</video:content_loc>
      <video:duration>1315</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Area under a curve, by integration</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 8. Slicing a region into thin strips, and adding the strips with an integral. Written as one line it reads as one fact.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch08-m01-t01/index.m3u8</video:content_loc>
      <video:duration>1444</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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    <video:video>
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      <video:title>Choosing vertical or horizontal strips for area</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 8. Choosing vertical or horizontal strips, and integrating in the matching variable.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch08-m01-t02/index.m3u8</video:content_loc>
      <video:duration>1376</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Area when the curve dips below the x-axis</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 8. Regions below the axis, and why the sign has to be discarded before adding. AN AREA IS A SIZE.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch08-m01-t03/index.m3u8</video:content_loc>
      <video:duration>1347</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch08-m02-t01-1280.610a638139.jpg</video:thumbnail_loc>
      <video:title>Area of a circle and an ellipse by integration</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 8. Recovering the areas of a circle and an ellipse by integration, using their own symmetry.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch08-m02-t01/index.m3u8</video:content_loc>
      <video:duration>1276</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
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      <video:title>What a differential equation is</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 9. What makes an equation differential, and why the answer is a curve not a number.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch09-m01-t01/index.m3u8</video:content_loc>
      <video:duration>959</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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    <video:video>
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      <video:title>Order and degree of a differential equation</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 9. Order and degree, and the polynomial condition degree needs before it means anything.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch09-m01-t02/index.m3u8</video:content_loc>
      <video:duration>907</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
      <video:family_friendly>yes</video:family_friendly>
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    <video:video>
      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch09-m02-t01-1280.00b0ee2104.jpg</video:thumbnail_loc>
      <video:title>General and particular solutions</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 9. General against particular: why the arbitrary constants are counted by the order.</video:description>
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      <video:duration>979</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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      <video:thumbnail_loc>https://prepshorts.com/poster/g12-maths-ch09-m03-t01-1280.f8ada24eeb.jpg</video:thumbnail_loc>
      <video:title>Solving by separating the variables</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 9. Pushing all the y's one side and all the x's the other, then integrating. SEPARABILITY IS DECIDED HERE, NOT RECOGNISED.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch09-m03-t01/index.m3u8</video:content_loc>
      <video:duration>1166</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Homogeneous differential equations</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 9. Homogeneous equations, and the substitution that separates the variables for you.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch09-m03-t02/index.m3u8</video:content_loc>
      <video:duration>979</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Linear equations, and the integrating factor</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 9. Multiplying through by an integrating factor to make the left side a single derivative.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch09-m03-t03/index.m3u8</video:content_loc>
      <video:duration>1174</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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      <video:title>When x is the dependent variable</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 9. The mirror-image form, where x is treated as the dependent variable. THE RECIPROCAL IS MEASURED, NOT ASSUMED.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch09-m03-t04/index.m3u8</video:content_loc>
      <video:duration>1175</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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      <video:title>Scalars and vectors, and what tells them apart</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 10. Why some measurements need a direction attached and others do not. THE SPLIT IS BUILT, NOT CLASSIFIED.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch10-m01-t01/index.m3u8</video:content_loc>
      <video:duration>1154</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Magnitude, direction cosines and direction ratios</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 10. Magnitude, the three angles with the axes, and the cosines and ratios they give.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch10-m01-t02/index.m3u8</video:content_loc>
      <video:duration>987</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
      <video:family_friendly>yes</video:family_friendly>
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      <video:title>Types of vectors: zero, unit, collinear, equal</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 10. The named kinds — zero, unit, coinitial, collinear, equal, negative and free.</video:description>
      <video:content_loc>https://prepshorts.com/v/g12-maths-ch10-m01-t03/index.m3u8</video:content_loc>
      <video:duration>1240</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:title>Triangle and parallelogram laws of vector addition</video:title>
      <video:description>NCERT Class 12 Maths, Chapter 10. Two laws for adding, why they agree, and what addition obeys. Say what the associativity Remark licenses in notation.</video:description>
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      <video:duration>1144</video:duration>
      <video:publication_date>2026-09-12</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
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