Page 1 :
XII CLASS - MATHEMATICS (2020-2021), (Deleted Topics, Exercises & Questions), Sr.No., , CHAPTER, , 1., , Relations &, Functions, , 2., , Inverse, Trigonometric, Functions, , DELETED TOPICS, Composite functions, Inverse of a Function., Binary Operations (Deleted, since the session 2019-20), , EXPECTED DELETED, QUESTIONS/EXERCISES, , Examples : 15,16/p-12,, 17,18,19/p-13, 20,21,22/p-14,, 23,24,25/p-15, 26,27/p-16,, 28/p-17, 29/p-20 to 40/p24,45/p-27, 49/p-28, Ex 1.3, Ex 1.4,, Misc. Ex of Chapter 1 : Q1,2,3,6,, 7, 9,11,12,13,14,18 &19, Examples : 3,4,5/p-45, 6/p-46,, 7,8/p-47,9,10/p-49; 11,, 12/p-50,13/p-51, Ex 2.2, Misc. Ex. of Chapter-2, , Graphs of inverse, trigonometric Functions,, Elementary properties of, Inverse Trigonometric, Functions., ⇝, Suggestive to Do :, All deleted topics and question as many results are being used in Derivative of, Inverse Trigonometric Functions, 3., Matrices, Existence of non-zero matrices Examples : 23/p-92, 24/p-94,, whose product is the zero, 25/p-96,, matrix, Ex 3.4, Concept of elementary row, and column operations, Proof of the uniqueness of, inverse, if it exists., 4., Determinants, Properties of determinants, Examples : 6/p-110, 7/p-111,, Consistency, inconsistency, 8/p-112, 9/p-113,10/p-114,, and number of solutions of, 11/p-115, 12,13,14/p-116,, system of linear equations, 15/p-117, 16/p-118, 30/p137, 31,32/p-138, 34/p-140, Ex 4.2 ; Ex 4.6 Q 1 to 6; Misc., Ex Chapter 4 - Q 2,4,5,6, 11 to, 15, 17, ⇝ Suggestive to Do :, Questions based on Properties of Determinants can be tried to expand, directly., EXPECTED DELETED, Sr.No., CHAPTER, DELETED TOPICS, QUESTIONS/EXERCISES, , Conquer Mathematics with Consistent Practice….., , Page 1

Page 2 :
5., , 6., , Continuity &, Rolle’s and Lagrange's Mean, Differentiability Value Theorems and their, geometric, interpretation., Application of, Rate of change of bodies, Derivatives, Use of derivatives in, Approximation., , Examples : 42,43/p-185,, Ex 5.8, , 7., , Integrals, , Example : 1,2/p-195, 3,4/p196, 5,6/p-197; 21,22/p214,23,24,25/p-215;, 42/p-234, 43,44/p-235, Ex 6.1 , Ex 6.4;, Misc. Ex of Ch 6 – Q 1, 3, 19, Integrals of the following types Examples : 23,24/p-329,25/pand problems based on them : 333,26/p-334,25/p-614, Ex 7.7 Q No. 3,4,5,6,7,8,11,, ∫ √𝑎𝑥 2 + 𝑏𝑥 + 𝑐 𝑑𝑥 ,, 12,13,14, (Q12,13,14 are in, ∫(𝑝𝑥 + 𝑞)√𝑎𝑥 2 + 𝑏𝑥 + 𝑐 𝑑𝑥, Definite Integral as a limit of a Supplementary Material) Ex, 7.8 ; Misc. Ex of Ch 7 – Q 40, sum, , 8., , Applications of, Integrals, , Area between any of the two, above said curves., , ⇝, , 9., , Examples : 6,7/p-368, 8/p-369,, 9,10/p-370, 13/p-373,14/p374, Ex 8.2; Misc. Ex of Chapter 8 –, Q 12,13,14,15,18,19, , Suggested to Do :, Area bounded by a curve and a line (as area between two curves is separate, topic covered in the NCERT), Differential, Equations, , Formation of differential, equation whose general, solution is given, Solutions of linear differential, equation of the type:, 𝑑𝑥, + 𝑝𝑥 = 𝑞, where p and q, , Examples : 4,5/p-388, 6,7/p389,8/p-390, 21,22/p-411, 25/p415,28/p-418, Ex 9.3, Ex 9.6- Q 10,11,12,19, Misc. Ex of Chapter 9 - Q 3,5,17, , 𝑑𝑦, , are functions of 𝑦 or constant, 10., , Sr.No., , Vectors, , CHAPTER, , Scalar triple product of, vectors., , DELETED TOPICS, , Conquer Mathematics with Consistent Practice….., , Examples : 26,27,28,29/p620, 30,31/p-621, Ex 10.5( in Supplementary, Material), EXPECTED DELETED, QUESTIONS/EXERCISES, Page 2

Page 3 :
11., , ⇝, , Threedimensional, Geometry, , Suggestive To Do :, Questions of Coplanar points or lines as these can be done without using, Scalar Triple Product., , 12., , Linear, Programming, , 13., , Probability, , ⇝, , ⇝, , Angle between (i) two lines, Examples : 9/p-472, 10/p(ii) two planes, (iii) a line and 473, 22/p-489,23/p-490,, a plane., 25/p-492, Ex 11.2 Q No. 10,11,12,13, Ex 11.3 Q No. 12,13, Misc. Ex of Chapter 11 – Q 1,, 3,5,6,23, , Mathematical formulation of, L.P. problems,, Infeasible regions, (unbounded), , Examples : 4/p-512, 6/p-515,, 7/p-516, 8/p-517, 9/p-521,, 10/p-522, Ex 12.1 – Q 4,6,9; Ex 12.2;, Misc. Ex of Chapter 12, ( No Word Problem, Direct, LPP will be Given), Mean and variance of random Examples : 27/p-564, 28/pvariable., 567,29/p-568,30/p-572,, Repeated independent, 31/p-575, 32/p-576,34/p(Bernoulli) trials and, 579, 35/p-580, 36/p-581, Binomial distribution., Ex 13.4 - Q 10 to 17 , Ex 13.5;, (Deleted since the session, Misc. Ex of chapter 13 – Q 4, 5,, 2019-20), 6, 7, 9, 10, 11, , Suggestive to Do :, Problems based on mean, variance and binomial distribution can be tried for, Probability Distribution only., All questions mentioned here are just expected to delete. These may vary., We will refer to CBSE Sample Papers and follow latest instructions given by CBSE, or Department of Education for more clarity., , Conquer Mathematics with Consistent Practice….., , Page 3