Trigonometry and Complex Numbers (Weightage 1%)  

Topics from Trigonometry and Complex Numbers

  • Trigonometrical functions, Inverse trigonometrical functions and their properties (60 concepts)
  • Trigonometrical identities and equations (134 concepts)
  • Height and distance (8 concepts)
  • Representation of complex numbers in the form of a+ib and their represenation in a plane (2 concepts)
  • Complex numbers as ordered pairs of reals (6 concepts)
  • Algebra of complex numbers (10 concepts)
  • Modulus and argument(or amplitude) of a complex number (50 concepts)
  • Triangle inequality (4 concepts)
  • Square root of a complex number (2 concepts)
  • Quadratic equations in real and complex number system and their solutions (10 concepts)
  • Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots (76 concepts)
  • Argand diagram (16 concepts)
  • Permutation as an arrangement and combination as selection (17 concepts)
  • Fundamental principle of counting (3 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)
  • Arithmetic and geometric progressions,insertion of arithmetic (32 concepts)
  • Geometric means between two given numbers (2 concepts)
  • Arithmetic, Geometric & Harmonic Progressions (7 concepts)
  • Relation between A.M. and G.M. (3 concepts)
  • Sum upto n terms of special series: Sn, Sn2, Sn3 (7 concepts)
  • Principle Of Mathematical Induction And Its Simple Applications (10 concepts)