Algebra (Weightage 32%)  

Topics from Algebra

  • Complex Number (4 concepts)
  • Geometrical Representation and Different Forms of Complex Number (6 concepts)
  • De-Moivre's Theorem (1 concepts)
  • Cube Root and nth Root of Unity (2 concepts)
  • Geometry with Complex Number (3 concepts)
  • Quadratic Equations and Roots (3 concepts)
  • Transformation of Quadratic Equations and Common Roots (2 concepts)
  • Graphs of Quadratic Equations (4 concepts)
  • Quadratic Expression in two Variables (1 concepts)
  • Location of Roots (3 concepts)
  • Polynomial Equation and Remainder Theorem (1 concepts)
  • Other Types of Equations and their Inequalities (4 concepts)
  • Sequences, Series And Progression (1 concepts)
  • Arithmetic Progression (6 concepts)
  • Geometric Progression (9 concepts)
  • Harmonic Progression (3 concepts)
  • Arithmetico-Geometric Progression (2 concepts)
  • Application Of A.M.-G.M. (3 concepts)
  • Summation By Sigma(?) Operator (3 concepts)
  • Method Of Differences (3 concepts)
  • Sum of Some Special Series (Vn Method) (2 concepts)
  • Introduction (1 concepts)
  • Fundamental principle of counting (1 concepts)
  • Permutation (10 concepts)
  • Combination (17 concepts)
  • Binomial Expansion and their Properties (3 concepts)
  • Analysis of Coefficients of Binomial Expansion (4 concepts)
  • Application of Binomial Expansion (8 concepts)
  • Multinomial Theorem (1 concepts)
  • Series Involving Binomial Coefficients (5 concepts)
  • Binomial Theorem For Any Index (2 concepts)
  • Matrices and Types of Matrices (4 concepts)
  • Mathematical Operation on Matrices (5 concepts)
  • Special Matrices and their Properties (11 concepts)
  • Elementary Row Operations and Inverse of a Matrix by Elementary Row Operations (3 concepts)
  • Determinant (2 concepts)
  • Adjoint of Matrix (4 concepts)
  • Inverse of a Matrix (Using Adjoint) (4 concepts)
  • Multiplication of Determinant (1 concepts)
  • Properties of Determinants (3 concepts)
  • System of Simultaneous Linear equations (4 concepts)
  • Sets, Representation of Sets and Different Types of Sets (11 concepts)
  • Cartesian Product, Relations and Types of Relations (7 concepts)
  • Functions, Domain-range and Types of functions (16 concepts)
  • Transformation of Graphs (5 concepts)
  • Logic Connectivity (1 concepts)
  • Truth Table (1 concepts)
  • Set Theoretical Approach of Logic Connectives (3 concepts)
  • Practice Session (4 concepts)
  • Principle of Mathematical Induction (2 concepts)
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