{"id":3777,"date":"2025-06-09T12:02:04","date_gmt":"2025-06-09T12:02:04","guid":{"rendered":"https:\/\/thecompanyboy.com\/?p=3777"},"modified":"2025-06-09T12:02:04","modified_gmt":"2025-06-09T12:02:04","slug":"cbse-class-12-mathematics-revision-quick","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/drive\/cbse-class-12-mathematics-revision-quick\/","title":{"rendered":"CBSE Class 12 Mathematics Quick Revision"},"content":{"rendered":"<div id=\"pl-3777\" class=\"panel-layout\">\n<div id=\"pg-3777-0\" class=\"panel-grid panel-no-style\" data-style=\"{&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;,&quot;cell_alignment&quot;:&quot;flex-start&quot;}\" data-ratio=\"1\" data-ratio-direction=\"right\">\n<div id=\"pgc-3777-0-0\" class=\"panel-grid-cell\" data-weight=\"1\">\n<div id=\"panel-3777-0-0-0\" class=\"so-panel widget widget_black-studio-tinymce widget_black_studio_tinymce panel-first-child panel-last-child\" data-index=\"0\" data-style=\"{&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;}\">\n<div class=\"textwidget\">\n<p>One of the most testing times for students is their final year in school where they will be facing their board exams to complete their school life. Taking down the right CBSE class 12 Maths notes does enable students to evaluate what they have learnt on a daily basis in entire year for the examinations.\u00a0The examinations are never easy and it can be stressful if students are not able to understand what they are learning<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"pg-3777-1\" class=\"panel-grid panel-no-style\" data-style=\"{&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;,&quot;cell_alignment&quot;:&quot;flex-start&quot;}\" data-ratio=\"1\" data-ratio-direction=\"right\">\n<div id=\"pgc-3777-1-0\" class=\"panel-grid-cell\" data-weight=\"1\">\n<div id=\"panel-3777-1-0-0\" class=\"so-panel widget widget_black-studio-tinymce widget_black_studio_tinymce panel-first-child panel-last-child\" data-index=\"1\" data-style=\"{&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;}\">\n<div class=\"textwidget\">\n<p><strong>AUTHOR<\/strong>: KRISHNA MURTHY<\/p>\n<p><strong>SIZE OF FILE:<\/strong>\u00a06MB<\/p>\n<p><strong>NUMBER OF PAGES:<\/strong>\u00a0205<\/p>\n<p><strong>LANGUAGE:\u00a0<\/strong>\u00a0ENGLISH<\/p>\n<p><strong>CATEGORY :<\/strong>\u00a0MATHEMATICS<\/p>\n<p><strong>PAGE QUALITY:<\/strong>\u00a0GOOD<\/p>\n<p><strong><mark>Mathematics XII Quick Revision Full Course Download Link<\/mark><\/strong><\/p>\n<p>Quick revision for CBSE Class 12 Mathematics requires summarizing key formulas, concepts, and tips for each chapter to prepare efficiently. Here&#8217;s a chapter-wise breakdown to help you revise:<\/p>\n<hr \/>\n<h3><strong>1. Relations and Functions<\/strong><\/h3>\n<ul>\n<li><strong>Key Concepts<\/strong>:\n<ul>\n<li>Types of relations: Reflexive, Symmetric, Transitive, and Equivalence.<\/li>\n<li>Types of functions: One-one, Onto, Bijective.<\/li>\n<li>Composition of functions and Inverse of a function.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Important Formulas<\/strong>:\n<ul>\n<li>For a bijective function <span class=\"katex\">f:A\u2192Bf: A \\to B<\/span>, <span class=\"katex\">f\u22121(f(x))=xf^{-1}(f(x)) = x<\/span>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>2. Inverse Trigonometric Functions<\/strong><\/h3>\n<ul>\n<li><strong>Key Concepts<\/strong>:\n<ul>\n<li>Principal values of inverse trigonometric functions.<\/li>\n<li>Properties and identities like <span class=\"katex\">sin\u2061\u22121(x)+cos\u2061\u22121(x)=\u03c02\\sin^{-1}(x) + \\cos^{-1}(x) = \\frac{\\pi}{2}<\/span>.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Important Formulae<\/strong>:\n<ul>\n<li><span class=\"katex\">tan\u2061\u22121(x)+tan\u2061\u22121(y)=tan\u2061\u22121(x+y1\u2212xy),\u00a0if\u00a0xy&lt;1\\tan^{-1}(x) + \\tan^{-1}(y) = \\tan^{-1}\\left(\\frac{x + y}{1 &#8211; xy}\\right), \\text{ if } xy &lt; 1<\/span>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>3. Matrices<\/strong><\/h3>\n<ul>\n<li><strong>Key Concepts<\/strong>:\n<ul>\n<li>Types of matrices: Square, Diagonal, Identity, Zero.<\/li>\n<li>Operations: Addition, Subtraction, Scalar Multiplication, Matrix Multiplication.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Key Formulae<\/strong>:\n<ul>\n<li><span class=\"katex\">(AB)T=BTAT(AB)^T = B^T A^T<\/span><\/li>\n<li><span class=\"katex\">A\u22121=adj(A)\u2223A\u2223A^{-1} = \\frac{\\text{adj}(A)}{|A|}<\/span> (if <span class=\"katex\">\u2223A\u2223\u22600|A| \\neq 0<\/span>).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>4. Determinants<\/strong><\/h3>\n<ul>\n<li><strong>Key Concepts<\/strong>:\n<ul>\n<li>Properties of determinants.<\/li>\n<li>Area of a triangle using determinants.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Key Formulae<\/strong>:\n<ul>\n<li><span class=\"katex\">\u2223A\u2223=\u2223AT\u2223|A| = |A^T|<\/span><\/li>\n<li>Cramer&#8217;s Rule for solving linear equations.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>5. Continuity and Differentiability<\/strong><\/h3>\n<ul>\n<li><strong>Key Concepts<\/strong>:\n<ul>\n<li>Continuity of a function at a point.<\/li>\n<li>Differentiability implies continuity, but not vice versa.<\/li>\n<li>Derivatives of inverse trigonometric, exponential, and logarithmic functions.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Important Formulae<\/strong>:\n<ul>\n<li>Chain rule: <span class=\"katex\">dydx=dydu\u22c5dudx\\frac{dy}{dx} = \\frac{dy}{du} \\cdot \\frac{du}{dx}<\/span>.<\/li>\n<li><span class=\"katex\">ddx[sin\u2061\u22121(x)]=11\u2212x2\\frac{d}{dx}[\\sin^{-1}(x)] = \\frac{1}{\\sqrt{1 &#8211; x^2}}<\/span>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>6. Applications of Derivatives<\/strong><\/h3>\n<ul>\n<li><strong>Key Topics<\/strong>:\n<ul>\n<li>Increasing and decreasing functions.<\/li>\n<li>Maxima and minima of functions.<\/li>\n<li>Tangents and normal to curves.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>7. Integrals<\/strong><\/h3>\n<ul>\n<li><strong>Key Topics<\/strong>:\n<ul>\n<li>Indefinite integrals as the reverse of differentiation.<\/li>\n<li>Integration by substitution, parts, and partial fractions.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Important Formulae<\/strong>:\n<ul>\n<li><span class=\"katex\">\u222bexdx=ex+C\\int e^x dx = e^x + C<\/span><\/li>\n<li><span class=\"katex\">\u222b1a2+x2dx=1atan\u2061\u22121(xa)+C\\int \\frac{1}{a^2 + x^2} dx = \\frac{1}{a} \\tan^{-1}\\left(\\frac{x}{a}\\right) + C<\/span>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>8. Applications of Integrals<\/strong><\/h3>\n<ul>\n<li><strong>Key Topics<\/strong>:\n<ul>\n<li>Area under curves using definite integrals.<\/li>\n<li><span class=\"katex\">Area\u00a0between\u00a0y=f(x)\u00a0and\u00a0y=g(x):\u222bab[f(x)\u2212g(x)]dx\\text{Area between } y = f(x) \\text{ and } y = g(x): \\int_{a}^{b} [f(x) &#8211; g(x)] dx<\/span>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>9. Differential Equations<\/strong><\/h3>\n<ul>\n<li><strong>Key Concepts<\/strong>:\n<ul>\n<li>Formation of differential equations.<\/li>\n<li>General and particular solutions.<\/li>\n<li>Methods: Variable separable, Homogeneous, Linear.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>10. Vector Algebra<\/strong><\/h3>\n<ul>\n<li><strong>Key Topics<\/strong>:\n<ul>\n<li>Scalar (Dot) Product: <span class=\"katex\">A\u20d7\u22c5B\u20d7=\u2223A\u20d7\u2223\u2223B\u20d7\u2223cos\u2061\u03b8\\vec{A} \\cdot \\vec{B} = |\\vec{A}||\\vec{B}|\\cos\\theta<\/span>.<\/li>\n<li>Vector (Cross) Product: <span class=\"katex\">A\u20d7\u00d7B\u20d7=\u2223A\u20d7\u2223\u2223B\u20d7\u2223sin\u2061\u03b8\u2009n^\\vec{A} \\times \\vec{B} = |\\vec{A}||\\vec{B}|\\sin\\theta \\, \\hat{n}<\/span>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>11. Three-Dimensional Geometry<\/strong><\/h3>\n<ul>\n<li><strong>Key Concepts<\/strong>:\n<ul>\n<li>Equation of a line and plane.<\/li>\n<li>Angle between two lines, a line and a plane, or two planes.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>12. Linear Programming<\/strong><\/h3>\n<ul>\n<li><strong>Key Topics<\/strong>:\n<ul>\n<li>Graphical method to solve linear inequalities.<\/li>\n<li>Optimize objective functions (Maximize\/Minimize).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>13. Probability<\/strong><\/h3>\n<ul>\n<li><strong>Key Topics<\/strong>:\n<ul>\n<li>Conditional probability.<\/li>\n<li>Bayes&#8217; theorem.<\/li>\n<li>Probability distribution of a random variable.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>Quick Revision Tips<\/strong><\/h3>\n<ol>\n<li>Create a formula sheet for all chapters.<\/li>\n<li>Focus on solving sample papers and previous years&#8217; question papers.<\/li>\n<li>Revise derivations for important results.<\/li>\n<li>Solve NCERT problems thoroughly.<\/li>\n<\/ol>\n<p>Would you like a specific chapter explained in detail?<\/p>\n<h3>CBSE Class 12 Mathematics Quick Revision<\/h3>\n<table class=\"table table-striped table-bordered table-hover\" border=\"1\">\n<tbody>\n<tr>\n<td colspan=\"2\">\n<p dir=\"ltr\"><strong>Class 12 Maths Revision Notes Chapter-wise\u00a0<\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p dir=\"ltr\"><a title=\"Chapter 1: Relations and Functions Notes\" href=\"https:\/\/www.esaral.com\/media\/uploads\/2024\/3\/1\/123228-Class-12-Maths-Revision-Notes-Chapter-1-Relations-and-Functions.pdf\" target=\"_blank\" rel=\"noopener\">Chapter 1: Relations and Functions Notes<\/a><\/p>\n<\/td>\n<td>\n<p dir=\"ltr\"><a title=\"Chapter 2: Inverse Trigonometric Functions Notes\" href=\"https:\/\/www.esaral.com\/media\/uploads\/2024\/3\/1\/12354-Class-12-Maths-Revision-Note-chapter-2-Inverse-Trigonometric-Functions.pdf\" target=\"_blank\" rel=\"noopener\">Chapter 2: Inverse Trigonometric Functions Notes<\/a><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p dir=\"ltr\">Chapter 3: Matrices Notes<\/p>\n<\/td>\n<td>\n<p dir=\"ltr\"><a title=\"Chapter 4: Determinants Notes\" href=\"https:\/\/www.esaral.com\/media\/uploads\/2024\/3\/1\/123614-Class-12-Maths-Revision-Notes-chapter-4-Determinants.pdf\" target=\"_blank\" rel=\"noopener\">Chapter 4: Determinants Notes<\/a><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p dir=\"ltr\"><a title=\"Chapter 5: Continuity and Differentiability Notes\" href=\"https:\/\/www.esaral.com\/media\/uploads\/2024\/3\/1\/123741-Class-12-Maths-Revision-Notes-chapter-5-Continuity-and-Differentiability.pdf\" target=\"_blank\" rel=\"noopener\">Chapter 5: Continuity and Differentiability Notes<\/a><\/p>\n<\/td>\n<td>\n<p dir=\"ltr\"><a title=\"Chapter 6: Application of Derivatives Notes\" href=\"https:\/\/www.esaral.com\/media\/uploads\/2024\/3\/1\/123855-Class-12-Maths-Revision-Note-chapter-6-Application-of-Derivatives.pdf\" target=\"_blank\" rel=\"noopener\">Chapter 6: Application of Derivatives Notes<\/a><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p dir=\"ltr\"><a title=\"Chapter 7: Integrals Notes\" href=\"https:\/\/www.esaral.com\/media\/uploads\/2024\/3\/1\/123957-Class-12-Maths-Revision-Notes-chapter-7-Integrals.pdf\" target=\"_blank\" rel=\"noopener\">Chapter 7: Integrals Notes<\/a><\/p>\n<\/td>\n<td>\n<p dir=\"ltr\"><a title=\"Chapter 8: Application of Integrals Notes\" href=\"https:\/\/www.esaral.com\/media\/uploads\/2024\/3\/1\/12413-Class-12-Maths-Revision-Notes-chapter-8-Application-of-Integrals.pdf\" target=\"_blank\" rel=\"noopener\">Chapter 8: Application of Integrals Notes<\/a><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p dir=\"ltr\"><a title=\"Chapter 9: Differential Equation Notes\" href=\"https:\/\/www.esaral.com\/media\/uploads\/2024\/3\/1\/124636-Class-12-Maths-Revision-Notes-chapter-9-Differential-Equation.pdf\" target=\"_blank\" rel=\"noopener\">Chapter 9: Differential Equation Notes<\/a><\/p>\n<\/td>\n<td>\n<p dir=\"ltr\"><a title=\"Chapter 10: Vector Notes\" href=\"https:\/\/www.esaral.com\/media\/uploads\/2024\/3\/1\/124831-Class-12-Maths-Revision-Notes-chapter-10-Vector.pdf\" target=\"_blank\" rel=\"noopener\">Chapter 10: Vector Notes<\/a><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p dir=\"ltr\">Chapter 11: Three-Dimensional Geometry Notes<\/p>\n<\/td>\n<td>\n<p dir=\"ltr\"><a title=\"Chapter 12: Linear Programming Notes\" href=\"https:\/\/www.esaral.com\/media\/uploads\/2024\/3\/1\/124935-Class-12-Maths-Revision-Notes-chapter-12-Linear-Programming.pdf\" target=\"_blank\" rel=\"noopener\">Chapter 12: Linear Programming Notes<\/a><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\">\n<p dir=\"ltr\">Chapter 13: Probability Notes<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>CBSE Class 12 Mathematics Revision Notes<\/h3>\n<h3><strong style=\"font-size: 16px\">\u201cMathematics rightly viewed possesses not only truth,but supreme beauty\u201d &#8211; Bertrand Russell<\/strong><\/h3>\n<div id=\"inner-primary\">\n<div id=\"content\">\n<div id=\"content-section-2\" class=\"section\">\n<div id=\"Blog1\" class=\"widget Blog\" data-version=\"1\">\n<div class=\"blog-posts hfeed\">\n<div class=\"post-outer\">\n<div class=\"page post\">\n<div id=\"post-body-6165788914805526544\" class=\"post-body entry-content wide-right\">\n<div class=\"post-body-inner\">\n<div dir=\"ltr\">The given questions will provide the student with a last minute overview of all the topics, which are otherwise hard to retain. These notes will take care of the last minute revision of the students. The notes have been prepared by experts who know which topics are essential within the syllabus. These notes have been prepared specially, in accordance with the CBSE pattern. We hope that our CBSE Revision Notes of class 12, prove to be helpful in the preparation of the student for the exams.<\/div>\n<\/div>\n<div class=\"post-body-inner\">\n<div dir=\"ltr\"><\/p>\n<div class=\"container\">\n<div class=\"row\">\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">1. Relations and Functions<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1iZm7MB2Kgn9Q63-KoNhtjuhkJf0eFESR\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1dp_R16k4eFDLAh3PnE8SEty8bVWkD7EI\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1YuUzyVDgHDuAlOIQwgpW92euVQ9ctmAk\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1oM5iUIzOTpmXrmXrxod2VJjlJ0Mn1qMp\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1R5CReaa_alg0Y91BjPZ3xzc2mg_OjULT\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">2. Inverse Trigonometric Functions<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1u5GvUSIgkdhV4e3B5mJqKceoNvjB6aZ7\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1l2-Qx2iSjZRuIcuYT6o3bDx370WLwEWo\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/18BqX765yaTWj4UC0Lq1ZFsMdAznysGn1\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme-cancel\" href=\"https:\/\/www.cleariitmedical.com\/p\/cbse-class12-maths-revision-notes.html#\" target=\"_blank\" rel=\"noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1iJP5-Lo8NW9ugFbaURFpMwgjZ6DRtGL2\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">3. Matrices and Determinants<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1-EDFJWB7v1BZVEwYHnODCyATBZccduh4\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1j81CcLOX1duzubdruCOc3z8IKc9Nn33m\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1LKag6C5GyMXaLwz73VjLDCupLAneb98N\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1MzgocmMrE2eiEdhoX5hq1yhdCH4E56xR\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1SONbKXjjEIY-Sm_R_ivNcQRk80JQimuy\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">4. Continuity and Differentiability<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1xsyony3uHPAmobKWbEbw0V372ukG6y1-\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1pZK40IDU78V4V44ue5-H0MZm0uNcnodE\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1SSmIQf4lnYVMTlfYJp6i_J1p0vl1WVRZ\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme-cancel\" href=\"https:\/\/www.cleariitmedical.com\/p\/cbse-class12-maths-revision-notes.html#\" target=\"_blank\" rel=\"noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1VAnz9X9kKZE_HzByatKFvqA5bDO3awEz\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"container\">\n<div class=\"row\">\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">5. Applications of Derivatives<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/17mJRDtW4suj6xky6ibd0EXREMyWAn_zN\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/102UEJ8LFbseFeykmn5I6_i0HJXqUlCQV\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1EO-mpmPOXN2QzXsNmsR8xMH64KAI3TbN\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme-cancel\" href=\"https:\/\/www.cleariitmedical.com\/p\/cbse-class12-maths-revision-notes.html#\" target=\"_blank\" rel=\"noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1W_H-mE21JIgCoJ7CFqu9M3-b3Phnt4N1\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">6. Integrals<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1RVNuUjEAKV4-358KNjNcOGon9juBXmlM\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1VgTNNGGYcmlJrbGoDmRkNFq1EaIx4RGA\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1OjKFl_gwmisRIJLEJXZHsVzXdgAlLzEd\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1DFOvkeQb1qee4335ZVeA4KfO4WCvhgLc\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1dQp3SBCzQ53RnY1JB7XIHIkBj2R_qije\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">7. Applications of Integrals<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1S7ZCQJuw2rLaduIlFqJ9U3wZipS8992E\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme-cancel\" href=\"https:\/\/www.cleariitmedical.com\/p\/cbse-class12-maths-revision-notes.html#\" target=\"_blank\" rel=\"noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme-cancel\" href=\"https:\/\/www.cleariitmedical.com\/p\/cbse-class12-maths-revision-notes.html#\" target=\"_blank\" rel=\"noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1TUsK4gQ7bFwjZs0Niqtl-AZ0ev-EgKnW\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1mf4aVBLO5c_q_KSCkg62xlLHo1H26EoL\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">8. Differential Equations<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1a8JPSVzp8J_Urs2s3xbcLdUHOt0P0TYf\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1B-vp9mBRF9apJOOFciaDApT3u4E9FqK7\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1xYQas_JCBvcqBIIBVufa9wV0hCRHdQ1t\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme-cancel\" href=\"https:\/\/www.cleariitmedical.com\/p\/cbse-class12-maths-revision-notes.html#\" target=\"_blank\" rel=\"noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1hNnLWjdgicKJpf1Md84cXrOYCyOHgECH\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"container\">\n<div class=\"row\">\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">9. Vectors<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1xnHuecebXvUlgWgrFKTjJlJzfn-apulC\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/15MpNl3-MRBOKtvpzebOunmDtA4-AmGMG\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1ntvF_4hkJaJSOFFEHsg88d7TXE-nwhpD\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme-cancel\" href=\"https:\/\/www.cleariitmedical.com\/p\/cbse-class12-maths-revision-notes.html#\" target=\"_blank\" rel=\"noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1i5RgsEVe4RnUyKY4PAoD0qwqbofMTk6K\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">10. Three-Dimensional Geometry<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1OHU3_q67cc-1G7wR41l3wPV-BKae4iHi\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1G6QBROxDStSZmrfIQs4eVoYG08-Tb0tw\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1i_4XuOq3AE1_gFZy2Vm_3rbP17DgLh29\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1hNHhyn_DrlIZE_Sm0YaCoOfLRG5RFTMy\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1YH8uuQC1GoFnWa4efw7RyGDMSLzppHaK\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">11. Linear Programming<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1q2VKlXig3-8np82sK6iTeF2Yl_IfXtco\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme-cancel\" href=\"https:\/\/www.cleariitmedical.com\/p\/cbse-class12-maths-revision-notes.html#\" target=\"_blank\" rel=\"noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme-cancel\" href=\"https:\/\/www.cleariitmedical.com\/p\/cbse-class12-maths-revision-notes.html#\" target=\"_blank\" rel=\"noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1k1BHJdJOyNbf5ut6Qc9k3czns0U90K3d\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1lhuKD6stW9aSpddnHvxf_CwOXfz_5eOj\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<div>\u00a0<\/div>\n<\/div>\n<div class=\"col-xs-12 col-md-3 notes-border\">\n<div class=\"notes-title\">12. Probability<\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1Tzu_D28GhrqVe_HpyVmdPgdJpznBlJeL\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Points to Remember<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1CPUsXPdyQ_AvPbBUyU86mqFeotke7ld2\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Very Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1jJXc25zUsOyzI_cj6U1AmFhHZmoW1YID\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Short Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/10W8geIDrI9Pw47s_ehtMe9qlLyfUsAor\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Long Answer<\/a><\/div>\n<div class=\"notes-details\"><a class=\"btn btn-block btn-theme\" href=\"https:\/\/drive.google.com\/a\/successmantra.com\/file\/d\/1S0czWLxIhrBGgGSGH2ts5U3VIySORF1F\/view?usp=drivesdk\" target=\"_blank\" rel=\"nofollow noopener\">Answer Key<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<h2>\u00a0<\/h2>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>One of the most testing times for students is their final year in school where they will be facing their board exams to complete their school life. Taking down the right CBSE class 12 Maths notes does enable students to evaluate what they have learnt on a daily basis in entire year for the examinations.\u00a0The [&hellip;]<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1489],"tags":[3193,3194],"class_list":["post-3777","post","type-post","status-publish","format-standard","hentry","category-mathematics-quick-revision","tag-mathematics-xii-quick-revision-full-course","tag-mathematics-xii-quick-revision-full-course-download-free-pdf"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/posts\/3777","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/comments?post=3777"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/posts\/3777\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/media?parent=3777"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/categories?post=3777"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/tags?post=3777"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}