Krishna's Solved Papers Mathematics 10 Years for XII Board CBSE Exam | Code 2101 | 1st Edition | 390 + Pages

by Ankur Aggarwal

Unit Relations and Functions Chapter 1: Relations and Functions Types of • Reflexive • Symmetric • transitive and equivalence relations • One to one and onto functions • composite functions • inverse of a function • Binary operations Chapter 2: Inverse Trigonometric Functions • Definition, range, domain, principal value branch • Graphs of inverse trigonometric functions • Elementary properties of inverse trigonometric functions Unit Algebra Chapter 1: Matrices • Operation on Addition and multiplication and multiplication with a scalar • Simple properties of addition, multiplication and scalar multiplication • Concept of elementary row and column operations • Invertible matrices and proof of the uniqueness of inverse, if it exists; Chapter 2: Determinants • Ad joint and inverse of a square matrix Unit Calculus Chapter 1: Continuity and Differentiability • Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions • Concept of exponential and logarithmic functions. • Derivatives of logarithmic and exponential functions geometric interpretation Chapter 2: Applications of Derivatives • Applications of rate of change of bodies, increasing/decreasing functions, tangents and normal, use of derivatives in approximation, maxima and minima • Simple problems Chapter 3: Integrals • Integration as inverse process of differentiation • Integration of a variety of functions by substitution, by partial fractions and by parts  Evaluation of simple integrals of the following types and problems based on them  Definite integrals as a limit of a sum, Fundamental Theorem of Calculus  Basic properties of definite integrals and evaluation of definite integrals Chapter 4: Applications of the Integrals  Applications in finding the area under simple curves, especially lines, circles/parabolas/ellipses  Area between any of the two above said curves (the region should be clearly identifiable) Chapter 5: Differential Equations  Definition, order and degree, general and particular solutions of a differential equation  Formation of differential equation whose general solution is given  Solutions of linear differential equation of the Unit Vectors and Three-Dimensional Geometry Chapter 1: Vectors  Vectors and scalars, magnitude and direction of a vector  Direction cosines and direction ratios of a vector Chapter 2: Three - dimensional Geometry  Direction cosines and direction ratios of a line joining two points  Cartesian and vector equation of a plane  Angle  Two lines  Two planes  A line and a plane  Distance of a point from a plane Unit Linear Programming Chapter 1: Linear Programming  Introduction  Related terminology such • Constraints • Objective function • Optimization • Different types of linear programming (L.P.) Problems • Mathematical formulation of L.P.

Kindle Edition

Published April 14, 2021