Complex Numbers

Maths, HSSC-Punjab First Year. This chapter is split into 41 topics and has 1,015 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Definition of complex numbers and the imaginary unit 25 questions
2. Factorising polynomials with complex coefficients 21 questions
3. Equations of the type (x + iy) squared = z 24 questions
4. Argand diagram 29 questions
5. Loci: circles and other conditions 22 questions
6. Complex polynomials and the fundamental theorem of algebra 23 questions
7. Modulus of combinations of complex numbers 26 questions
8. Polynomials from given zeros 22 questions
9. Cryptography with complex numbers 25 questions
10. Conjugate and modulus identities 24 questions
11. Loci: straight lines in the complex plane 24 questions
12. Square roots of complex numbers: numerical 24 questions
13. Addition and subtraction of complex numbers 30 questions
14. Additive and multiplicative identity and inverse 22 questions
15. Alternating current circuits 27 questions
16. Division of complex numbers 24 questions
17. Quartic and higher-degree equations over C 25 questions
18. Square root of a complex number: formula 23 questions
19. Factorising quadratics over the complex numbers 24 questions
20. Complex numbers as ordered pairs 21 questions
21. Multiplication and division in polar form 23 questions
22. Expressions and identities with omega 30 questions
23. Finding real x and y from complex equations 24 questions
24. Real and imaginary parts 24 questions
25. Multiplication of complex numbers 28 questions
26. Polar form and principal argument 28 questions
27. Modulus of a complex number 26 questions
28. Complex conjugate 25 questions
29. Polar coordinates 29 questions
30. Field properties and absence of order 21 questions
31. Cube roots of unity 23 questions
32. Addition, subtraction and arguments in polar form 27 questions
33. Converting complex numbers to polar form 23 questions
34. Equality of two complex numbers 24 questions
35. Converting polar form to rectangular form 23 questions
36. Expressing quotients in the form a + ib 22 questions
37. Rational root theorem and cubic polynomials 21 questions
38. Cube roots of real numbers 24 questions
39. Powers of omega 30 questions
40. Fourth roots of unity and of real numbers 26 questions
41. Powers of i 29 questions