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Mathematics Class 10 Unit 1: Complex Numbers MCQs

35 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers".

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1. The value of i2 is

Answer: B. −1

2. √(−9) is equal to

Answer: C. 3i

3. The value of i7 is

Answer: D. −i

4. The value of i10 is

Answer: A. −1

5. The value of 1/i is

Answer: C. −i

6. (2 + 3i) + (4 − 5i) equals

Answer: B. 6 − 2i

7. (3 + 2i)(3 − 2i) equals

Answer: A. 13

8. (1 + i)2 equals

Answer: D. 2i

9. The conjugate of 5 − 7i is

Answer: A. 5 + 7i

10. The modulus |3 + 4i| is equal to

Answer: B. 5

11. (2 + i)(1 − i) equals

Answer: D. 3 − i

12. The multiplicative inverse of 3 + 4i is

Answer: C. (3 − 4i)/25

13. The additive inverse of −4 + 5i is

Answer: D. 4 − 5i

14. If a + bi = 3 − 2i, then the values of a and b are

Answer: A. a = 3, b = −2

15. The real part of (1 + 2i)(3 − i) is

Answer: C. 5

16. (2 + 3i)/(1 + i) equals

Answer: B. (5 + i)/2

17. √(−5) × √(−20) equals

Answer: D. −10

18. The modulus of −5 + 12i is

Answer: B. 13

19. If z = a + bi, then z + z̄ is equal to

Answer: C. 2a

20. If z = a + bi, then z · z̄ is equal to

Answer: A. a² + b²

21. Which of the following is a pure imaginary number?

Answer: D. −7i

22. The solution set of x² + 9 = 0 is

Answer: A. {3i, −3i}

23. a² + b² can be factorized over complex numbers as

Answer: C. (a + bi)(a − bi)

24. The value of i21 is

Answer: B. i

25. The point (−3, 2) in the Argand plane represents the complex number

Answer: B. −3 + 2i

26. The complex number −3 + 2i lies in the

Answer: D. second quadrant

27. The number 6 written as a complex number is

Answer: C. 6 + 0i

28. (2 − 3i)2 equals

Answer: A. −5 − 12i

29. If (x + 2) + (y − 1)i = 5 + 3i, then the values of x and y are

Answer: B. x = 3, y = 4

30. (5 + 2i) − (3 − 4i) equals

Answer: A. 2 + 6i

31. √(−16) equals

Answer: C. 4i

32. A complex number whose imaginary part is zero is a

Answer: D. real number

33. If z = 3 − 4i, then |z| equals

Answer: D. 5

34. The conjugate of the conjugate of z is

Answer: C. z

35. For z₁ = 1 + i and z₂ = 1 − i, the product z₁z₂ is

Answer: B. 2

About Mathematics Class 10 Unit 1 MCQs (Federal Board)

These 35 Mathematics MCQs cover Class 10 Unit 1: Complex Numbers of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. Download the Complex Numbers MCQs as a PDF using the button at the top of this page.