DELETED SUMS AND EXERCISES - PCM

Mathematics Removed Syllabus 2021-2022 Term - 1 Chapter 1 - Relations and Functions Composite functions Inverse of a function (Do it, it is important for Inverse Trigo) Binary Operations Exercise 1.3 Exercise 1.4 Miscellaneous Exercise - Q1, Q2, Q3, Q6, Q7, Q14, Q19 Chapter 2 - Inverse Trigonometric Functions Graphs of inverse trigonometric functions (Do it, important for understanding Inverse Trigo Functions) Elementary properties of inverse trigonometric functions Exercise 2.2 - Q3, Q4, Q12, Q13, Q14, Q15, Q18 Miscellaneous Exercise - Q4-Q8, Q12-Q14, Q16, Q17 Chapter 3 - Matrices Existence of non-zero matrices whose product is the zero matrix Concept of elementary row and column operations Proof of the uniqueness of inverse, if it exists. Exercise 3.4 Chapter 4 - Determinants Properties of determinants Consistency, inconsistency and number of solutions of system of linear equations by examples Exercise 4.2 Exercise 4.6 - Q1-Q6 Miscellaneous Exercise - Q2, Q11-Q15 Chapter 5 - Continuity and Differentiability Rolle’s and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation Exercise 5.8 Miscellaneous Exercise - Q19 Chapter 6 - Applications of Derivatives Rate of change of bodies Use of derivatives in approximation Exercise 6.1 Exercise 6.4 Miscellaneous Exercise - Q1, Q3, Q19 Chapter 12 - Linear Programming Mathematical formulation of L.P. problems Feasible and infeasible regions (unbounded) Exercise 12.1 - Q4, Q6, Q9 Exercise 12.2 Miscellaneous Exercise

Term - 2 Chapter 7 - Integrals ∫ √ax2 + bx + c dx (Completing the whole square bhi nhai aata tumhe?) ∫(ax + b)√ax2 + bx + c dx (Jaake 10th ki videos dekho Quad Eqn ki) Definite integrals as a limit of a sum Exercise 7.7 - Q3-Q7 Exercise 7.8 Chapter 8 - Application of Integrals Area between the curves listed in Integrals Chapter 9 - Differential Equations Formation of differential equation whose general solution is given Solutions of linear differential equation of the type - dx/dy +px = q, where p and q are functions of y. Exercise 9.3 Exercise 9.6 - Q11, Q12, Q19 Miscellaneous Exercise - Q3, Q5, Q17 Chapter 10 - Vector Algebra Scalar Triple Product of vectors (Do it, because it comes in 3D Geometry Coplanarity of 2 Lines) Supplementary Chapter 11 - Three Dimensional Geometry Angle between (i) two lines, (ii) two planes, (iii) a line and a plane (You have already done it, it is basically angle between vectors xD) Exercise 11.2 - Q10, Q11 Exercise 11.3 - Q12, Q13 Miscellaneous Exercise - Q3, Q5 Chapter 13 - Probability Mean and Variance of random variable. Binomial probability distribution. Exercise 13.4 Exercise 13.5 Miscellaneous Exercise - Q2, Q3

CBSE Class 12 Physics Syllabus (Removed) 2021-22 Term - 1 Chapter 1 : Electrostatic Charges and Fields Pg 39,40,41 (Uniformly Charged thin Spherical Shell) Chapter 2 : Electrostatic Potential and Capacitance : Nothing removed Chapter 3 : Current Electricity Pg 107,108,109 (Series and parallel combination of resistors) Carbon resistor, colour code for carbon resistors Chapter 4 : Moving Charges and Magnetism Pg 140,141,142 (Cyclotron) Chapter 5 : Magnetism and Matter Pg 176,177,178,179, Ex5.4 (Magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis, torque on a magnetic dipole (bar magnet) in a uniform magnetic field) Page 191(5.6),192,193,194 (Para, dia- and ferro - magnetic substances, with examples. Electromagnets and factors affecting their strengths, permanent magnets) Chapter 6 : Electromagnetic Induction : Nothing removed Chapter 7 : Alternating Current Page 252 (power factor) Watt-less current Term - 2 Chapter 8 : Electromagnetic Waves Page 270(8.2),271,272,273 (Displacement Current) Chapter 9 : Ray Optics and Optical Instrument Page 310(9.2),311,312,313,314,315,316 (Reflection of light, spherical mirrors, (recapitulation) mirror formula) Page 335(9.8.2) (Scattering of Light) Chapter 10 : Wave Optics Page 372 to 382 (resolving power of microscope and astronomical telescope, polarisation, plane polarised, Brewster’s Law, uses of plane polarised light and polaroids) Chapter 11 : Dual Nature of Radiation and Matter Page 403,404 (Davisson and Germer experiment) Chapter 12 : Atoms : Nothing removed Chapter 13 : Nuclei Page 446 to 451(13.6.4) (Radioactivity, alpha, beta and gamma particles/rays and their properties; radioactive decay, half life and mean life) Page 442(13.4.2) to 445 (excluding 13.5) (binding energy per nucleon and its variation with mass number) Chapter 14 : Semiconductors Electronics : Materials, Devices and Simple Circuits Page 485,486 (Zener Diode and their characteristics, zener diode as a voltage regulator) ——————————————————————————————————————————— Practicals : No investigatory project and Activity to be demonstrated 8 experiments (clubbed based on skills) in place of 12