# Algebra (Weightage 36%)   Share

### Topics from Algebra

• Sets and their represntation (13 concepts)
• Union (6 concepts)
• Intersection and complement of sets and their algebric properties (21 concepts)
• Power set (3 concepts)
• Relation (21 concepts)
• Types of relations (10 concepts)
• Functions (13 concepts)
• One-one , into and onto functions (11 concepts)
• Composition of functions (17 concepts)
• Complex numbers as ordered pairs of reals (3 concepts)
• Argand diagram (8 concepts)
• Representation of complex numbers in the form of a+ib and their represenation in a plane (1 concepts)
• Algebra of complex numbers (5 concepts)
• Modulus and argument(or amplitude) of a complex number (25 concepts)
• Square root of a complex number (1 concepts)
• Triangle inequality (2 concepts)
• Quadratic equations in real and complex number system and their solutions (5 concepts)
• Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots (38 concepts)
• Matrices, algebra of matrices, types of matrices (56 concepts)
• Determinants and matrices of order two and three (2 concepts)
• Properties of determinants, evaluation of determinants (14 concepts)
• Adjoint and evaluation of inverse of a square matrix using deteminants and elementary transformations (14 concepts)
• Test of consistency and solution of simultaneous linear equation in two or three variables using determinants and matrices (15 concepts)
• Fundamental principle of counting (3 concepts)
• Permutation as an arrangement and combination as selection (17 concepts)
• Meaning of P(n,r) and C( n,r), Simple applications (38 concepts)
• Bionomial theorem for a positive integral index, general term and middle term (21 concepts)
• Properties of bionomial coefficients and simple applications (21 concepts)
• Principle Of Mathematical Induction And Its Simple Applications (10 concepts)
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