Class 12 Maths Syllabus 2012-13
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This document outlines the syllabus for the Class XII exam in mathematics. The exam will consist of one 3-hour paper worth 100 marks total. The syllabus covers 6 units: Relations and Functions (10 marks), Algebra (13 marks), Calculus (44 marks), Vectors and Three-Dimensional Geometry (17 marks), Linear Programming (6 marks), and Probability (10 marks). Key concepts in Algebra include matrices, determinants, and solving systems of linear equations. Calculus covers basic calculus topics. Probability focuses on conditional probability, Bayes' theorem, and binomial distribution.
Class 12 Maths Syllabus 2012-13
- 1. CLASS XII One Paper Units Three Hours Marks: 100 Marks I. RELATIONS AND FUNCTIONS 10 II. ALGEBRA 13 III. CALCULUS 44 IV. VECTORS AND THREE - DIMENSIONAL GEOMETRY 17 V. 06 LINEAR PROGRAMMING 10 Total 1. .c UNIT I. RELATIONS AND FUNCTIONS om VI. PROBABILITY Relations and Functions : 100 (10) Periods Inverse Trigonometric Functions: (12) Periods du 2. rit e Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations. 1. Matrices: w UNIT-II: ALGEBRA .e Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions. (18) Periods w w Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries). 2. Determinants: (20) Periods Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix. 78
- 2. w w w .e du rit e .c om Wednesday, March 25, 2009 2:37 PM Unfiled Notes Page 1
- 4. UNIT-VI: PROBABILITY 1. Probability: (18) Periods Conditional probability, multiplication theorem on probability. independent events, total probability, Baye's theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and Binomial distribution. w w w .e du rit e .c om Recommended Textbooks. 1) Mathematics Part I - Textbook for Class XI, NCERT Publication 2) Mathematics Part II - Textbook for Class XII, NCERT Publication 81