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Complex numbers and quadratic equations (Weightage 8%)  

Topics from Complex numbers and quadratic equations

  • Complex numbers as ordered pairs of reals (3 concepts)
  • Representation of complex numbers in the form of a+ib and their represenation in a plane (1 concepts)
  • Argand diagram (8 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)
  • Complex Number (5 concepts)
  • Geometrical Representation and Different Forms of Complex Number (7 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)

Important Books for Complex numbers and quadratic equations

  • Complex numbers and quadratic equations Book
  • Complex numbers and quadratic equations Book
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