ARIHANT MATHS HANDBOOK

[Page 3] Amit Rastogi ARIHANT PRAKASHAN, (SERIES) MEERUT hand book KEY NOTES TERMS DEFINITIONS FORMULAE Highly Useful for Class XI & XII Students, Engineering Entrances and Other Competitions Mathematics Supported by Love Agarwal Brijesh Dwivedi [Page 4] ! Ordered Pair ! Venn Diagram ! Subset and Superset ! Even and Odd Functions ! Geometry of Complex Numbers ! Series ! Geometric Progression (GP) ! Compositions of Two Functions ! Set ! Operations on Real Functions ! Cube Roots of Unity ! Equality of Complex Numbers ! Iota ! Quadratic Equation ! Inequality ! Solution Set ! Relation 5. Sequences and Series 62-73 ! Operations on Sets ! Sequence 1. Sets and Relations 1-9 ! Real Valued and Real Functions ! Functions ! Composition of Relation 2. Functions and Binary Operations 10-27 ! Standard Real Functions and their Graphs 3. Complex Numbers 28-45 ! Binary Operations ! Algebra of Complex Numbers ! Argand Plane and Argument of a Complex Number ! n th Roots of Unity ! Equal Functions 4. Theory of Equations and Inequations 46-61 ! Polynomial ! Quadratic Expression ! Linear Inequality ! Arithmetic Progression (AP) ! Harmonic Progression (HP) ! Arithmetic-Geometric Progression 6. Permutations and Combinations 74-84 ! Fundamental Principles of Counting ! Factorial ! Permutation ! Circular Permutation ! Combination CONTENTS [Page 5] 7. Binomial Theorem and Principle of Mathematical Induction 85-92 ! Binomial Theorem for Positive Integer ! General Term in a Binomoal Expansion ! Fundament