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Algebra (Weightage 32%)  

Topics from Algebra

  • 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)
  • Bionomial theorem for a positive integral index, general term and middle term (21 concepts)
  • Properties of bionomial coefficients and simple applications (21 concepts)
  • Arithmetic and geometric progressions,insertion of arithmetic (32 concepts)
  • Geometric means between two given numbers (2 concepts)
  • Relation between A.M. and G.M. (3 concepts)
  • Sum upto n terms of special series: Sn, Sn2, Sn3 (7 concepts)
  • Arithmetic, Geometric & Harmonic Progressions (7 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)
  • 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)
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