Algebra

This chapter covers topics such as Variation, Algebraic Inequalities, Partial Fractions, Number System, Ratio and Proportion, Surds and Indices, Logarithmic Series, and Exponential Series.

This chapter covers topics such as Types of Relations, Basics of Sets, Algebra of Sets, Types of Sets, Basics of Relations, Subsets and Power Set, and Binary Operations.

This chapter covers topics such as Basics of Logarithm, Properties of Logarithms, and Logarithmic Equations and Inequalities.

This chapter covers topics such as Algebraic Expressions, Equations and Identities, Range and Graph of Quadratic Expressions, Common Roots, Nature of Roots, Algebraic Equations of Higher Degree, Quadratic Equation and its Solutions, etc.

This chapter covers topics such as Geometric Progression, A.M., G.M., H.M. and Their Relations, Arithmetico-Geometric Progression, Basics of Sequence and Series, Arithmetic Progression, Harmonic Progression, and Miscellaneous Series.

This chapter covers topics such as Basics of Complex Numbers, Properties of Conjugate, Modulus and Argument of Complex Numbers, Algebra of Complex Numbers, Geometry of Complex Numbers, De Moivre's Theorem, and Roots of Unity.

This chapter covers topics such as Series involving Binomial Coefficients, Multinomial Theorem, Binomial Theorem for Any Index, Properties of Binomial Coefficients, General Term, Middle Term and Greatest Term in Binomial Expansion, etc.

This chapter covers topics such as Permutation, Fundamental Principles of Counting, Circular Permutation, Combination, Inclusion-Exclusion Principle, and Division and Distribution of Objects.

This chapter covers topics such as Algebra of Matrices, Basics of Matrices, Inverse of a Matrix, Determinant of a Square Matrix, System of Linear Equations, Special Types of Matrices, Properties of Determinants, Adjoint of a Matrix, etc.