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**ARIHANT MATHS HANDBOOK** is an educational resource in **Science & Mathematics** (ARIHANT MATHS HANDBOOK) published to the Reason Orbit knowledge repository.
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[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 ! Fundamental Trigonometric Identities ! Trigonometric Ratios For Acute Angle ! Trigonometric Equations ! Basic Rules of Triangle ! Trigonometric Functions of Compound Angles ! Rank of a Matrix ! Algebra of Matrices ! Experiment ! Principle of Mathematical Induction ! Elementary Operations (Transformations of a Matrix) ! Baye’s Theorem ! Greatest Term ! R-f Factor Relations ! Symmetric and Skew- Symmetric Matrices ! Minor and Cofactors ! Inverse of a Matrix 10. Probability 113-123 ! Relation Between Degree and Radian ! Random Variable ! Adjoint of a Matrix ! Bernoulli Trials and Binomial Distribution ! Graph of Trigonometric Functions ! Trigonometric Functions of Multiple Angles ! Binomial Theorem for Any Index ! Matrix ! Determinant ! Conjugate of a Matrix ! Algebra of Events ! Multinomial Theorem 9. Determinants 102-112 8. Matrices 93-101 ! Middle Term in a Binomial Expansion ! Transpose of Matrix ! Homogeneous and Non- homogeneous System of Linear Equations ! 11. Trigonometric Functions, Identities and Equations 124-140 ! Measurement of Angles ! Trigonometric (or Circular) Functions ! Transformation Formulae ! Trigonometric Periodic Functions 12. Solution of Triangles 141-147 ! Trigonometrical Ratios of Half of the Angles of Triangle ! Area of a Triangle ! Angle of Elevation ! Angle of Depression 13. Heights and Distances 148-150 [Page 6] ! Graphs of Inverse Triginometric Functions ! Rectangular Axis ! Distance Formulae ! Section Formulae ! Shifting of Origin/Rotation of Axes ! Equation of Locus ! Slope (Gradient) of a Line ! Angle between Two Lines ! Equation of a Straight Line ! Domain and Range of Inverse Trigonometric