Complex Numbers

Maths, HSSC-KPK First Year. This chapter is split into 37 topics and has 819 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Identities with real part, imaginary part and conjugate 22 questions
2. Multiplication of complex numbers 24 questions
3. Number systems: real, imaginary and complex numbers 22 questions
4. Equality of complex numbers 22 questions
5. Division of complex numbers and rationalization 24 questions
6. Sums and expressions involving powers of i 24 questions
7. Review Exercise 1: mixed problems 21 questions
8. Linear factors of z squared plus a squared and polynomials 21 questions
9. Additive inverse of a complex number 21 questions
10. Properties of the modulus 21 questions
11. Completing the square for quadratic equations 22 questions
12. Verifying solutions of equations 21 questions
13. Definition and history of complex numbers 24 questions
14. Commutative and associative properties of addition 22 questions
15. Solving simultaneous linear equations with complex coefficients 21 questions
16. Ordered pair form of complex numbers 23 questions
17. Conjugate of a complex number 23 questions
18. Distributive property of multiplication over addition 22 questions
19. Multiplicative inverse of a complex number 22 questions
20. Factor theorem and factorising cubic polynomials 20 questions
21. Quadratic formula, discriminant and nature of roots 22 questions
22. Solving quadratic equations with complex roots 22 questions
23. Real and imaginary parts of ((x1 + iy1)/(x2 + iy2)) to the power n 22 questions
24. Negative powers of i 23 questions
25. Square roots of negative numbers 22 questions
26. Subtraction of complex numbers 22 questions
27. Real and imaginary parts of (x + iy) to the power n 23 questions
28. Positive powers of i 24 questions
29. Additive and multiplicative identity 21 questions
30. Geometric meaning of modulus and conjugate 21 questions
31. Modulus (absolute value) of a complex number 24 questions
32. Addition of complex numbers 23 questions
33. Equations of higher degree: powers of z 21 questions
34. Linear equations in two complex variables: concepts 22 questions
35. Properties of the conjugate (Theorem, parts b to f) 21 questions
36. Real, imaginary and pure imaginary numbers 22 questions
37. Commutative and associative properties of multiplication 22 questions