Complex Number

Board: CBSE, GSEB, ICSE, ISC, International Board, Cambridge

Class: 9, 10, 11, 12 Students, Regular Students, Engineering Students and Medical Students.

Maths (AIEEE, IIT-JEE Main) Complex Number Interactive e-Book Education Application

Maths Online Interactive e-Books Applications; Maths Quizzes for Middle school and High School

Complex Number e-Book Math Formulas

Application Compatible: Mobile & Tablet

Topics:

1. Basic Concepts of Complex Number

2. Definition

3. Integral powers of iota (i)

3. Real and Imaginary Parts of a Complex Number

4. Algebraic Operations with Complex Numbers

5. Properties of algebraic operations on complex numbers

6. Equality of Two Complex Numbers

7. Conjugate of a complex number

8. Conjugate complex number

9. Properties of conjugate

10. Reciprocal of a complex number

11. Modulus of a Complex Number

12. Properties of Modulus

13. Argument of a Complex Number

14. Principal value of arg (z)

15. Properties of arguments

16. Square Root of a Complex Number

17. Various Representations of a Complex Number

18. Geometrical representation (Cartesian representation)

19. Trigonometrical (Polar) representation

20. Vector representation

21. Eulerian representation (Exponential form)

22. Logarithm of a Complex Number

23. Use of Complex numbers in Co-ordinate Geometry

24. Distance Formula

25. Section Formula

26. Equation of the perpendicular bisector

27. Equation of a straight line

28. Equation of a Circle

29. Rotation Theorem

30. Complex number as a rotating arrow in the argand plane

31. Triangle Inequalities

32. Standard loci in the Argand Plane

33. De' Moivre's Theorem

34. Deductions

35. Summation of series ‘C+ is’ Method

36. sine, cosine, sinh or cosh series

37. Gregory’s series

38. Roots of a Complex Number

39. nth roots of complex number (z1/n)

40. Properties of the roots of z1/n

41. The nth roots of unity

42. Properties of nth roots of unity

43. Cube roots of unity

44. Alternative

45. Properties of cube roots of unity

46. Fourth roots of unity

47. Points at a Glance