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Re: Mathematics Question Paper for 2nd PUC
Karnataka Second PUC Mathematics question paper has question from following topics: UNIT I: RELATIONS AND FUNCTIONS 1. Rela tions and Functions Types of relations : Reflexive, symmetric, transitive , empty, universal and equivalence relations. Examples and problems. Types of functions : One to one and onto functions, inverse of a function composite functions, mentioning their properties only , examples and problems . Binary operations : associative, commutative, identity, inverse with examples 2. Inverse Trig onometric Functions Definition, range, domain, principal value branches. Mentioning domain and range of trigonometric and inverse trigonometric functions. Graphs of inverse trigonometric functions. P roperties and proof s of inverse trigonometric functions given in NCERT prescribed text book, mentioning formulae for sin  1 x sin  1 y, cos  1 x cos  1 y, 2 tan  1 x = tan  1 ( ) = sin  1 ( ) = cos  1 ( ) without proof. Conversion of one inverse trigonometric function to another w.r.t to right angled triangle. Problems. UNIT II: ALGEBRA 1. Matrices Concept, notation, order, Types of matrices : column matrix, row matrix, rectangular matrix, square matrix, zero matrix, diagonal matrix, scalar matrix and unit matrix. Algebra of matrices : E quality of matrices, Addition, multiplication, sc alar multiplication of matrices , T ranspose of a matrix . Mentioning properties with respect to a ddition, multiplication , scalar multiplica tion and transpose of matrices . S ymmet ric and skew symmetric matrices : Definition s , properties of symmetric and skew symmetric matrices : proof s of i) If A is any square matrix A+A′ is symmetric and A  A′ is skew symmetric ii) Any square matrix can be expressed as the sum of a symmetric and a skew symmetric matrix . Concept of elementary row and column operations and finding inv erse of a matrix restricted to 2x2 matrices only . Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries) You need Karnataka Second PUC Mathematics Question Paper, here I am giving: more paper detail to atteched a pdf file......................
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