These Complex Numbers And Quadratic Equations Class 11 MCQ and Answers are most important for your upcoming examinations including JEE Main & JEE Advanced. These Complex Numbers And Quadratic Equations Class 11 MCQ and Answers will help you to score good marks in your exams by helping you to prepare the concepts better and hence, help you to understand the concepts more clearly.

## Complex Numbers And Quadratic Equations Class 11 MCQ

1. Complex number restricted by the below equation will lie on |z-1| = |z+1|

(A) Parabola

(B) Circle

(C) Ellipse

(D) Straight line

**Answer:** Straight line

2. Number of solutions of the equation z^{2}+|z|^{2}=0 is

(A) 0

(B) 1

(C) 2

(D) infinitely many

**Answer:** infinitely many

3. The roots of quadratic equation 3x^{2}+7ix+6=0 is

(A) 3i, 2i/3

(B) 3i, -2i/3

(C) -3i, -2i/3

(D) -3i, 2i/3

**Answer:** -3i, 2i/3

4. If z is a complex number, then

(A) |z^{2}|>|z|^{2}

(B) |z^{2}|=|z|^{2}

(C) |z^{2}|<|z|^{2}

(D) |z^{2}|?|z|^{2}

**Answer:** |z^{2}|=|z|^{2}

5. The modulus of -4 is

(A) 2

(B) -2

(C) 4

(D) -4

**Answer:** 4

6. For all complex numbers z_{1} , z_{2} satisfying | z_{1} | = 12 and | z_{2} – 3 – 4i | = 5, the minimum value of | z_{1} – z_{2} | is

(A) 0

(B) 2

(C) 7

(D) 17

**Answer:** 2

7. Which one is correct

(A) 1 + i < 2 + i

(B) 1 + i > 2 + i

(C) 1 + i = 2 + i

(D) one of these

**Answer:** one of these

8. If |z| < ?2 – 1 then |z^{2} + 2x * cos a| is

(A) less than 1

(B) ?2 – 1

(C) ?2 + 1

(D) ?2

**Answer:** less than 1

9. If a = 3 + 2i and b = 2 – 3i, then the value of a * b is

(A) 12 – 5i

(B) 12 + 5i

(C) 5i + 12

(D) 5i – 12

**Answer:** 12 – 5i

10. If i = ?(-1) then 4 + 5(-1/2 + i?3/2)^{334} + 3(-1/2 + i?3/2)^{365} is equals to

(A) 1 – i?3

(B) -1 + i?3

(C) i?3

(D) -i?3

**Answer:** i?3

11. If arg (z) < 0, then arg (-z) – arg (z) =

(A) ?

(B) -?

(C) -?/2

(D) ?/2

**Answer:** ?

12. The curve represented by Im(z²) = k, where k is a non-zero real number, is

(A) a pair of striaght line

(B) an ellipse

(C) a parabola

(D) a hyperbola

**Answer:** a hyperbola

13. The value of i^{-999} is

(A) 1

(B) -1

(C) i

(D) -i

**Answer:** i

14. The least value of n for which {(1 + i)/(1 – i)}n is real, is

(A) 1

(B) 2

(C) 3

(D) 4

**Answer:** 2

15. The value of ?(-16) is

(A) -4i

(B) 4i

(C) -2i

(D) 2i

**Answer:** 4i

16. If ? is an imaginary cube root of unity, then (1 + ? – ?²)7 equals

(A) 128 ?

(B) -128 ?

(C) 128 ?²

(D) -128 ?²

**Answer:** -128 ?²

17. Let z be a complex number such that |z| = 4 and arg(z) = 5?/6, then z =

(A) -2?3 + 2i

(B) 2?3 + 2i

(C) 2?3 – 2i

(D) -?3 + i

**Answer:** -2?3 + 2i

18. The value of ?(-25) + 3?(-4) + 2?(-9) is

(A) 13i

(B) -13i

(C) 17i

(D) -17i

**Answer:** 17i

19. if z lies on |z| = 1, then 2/z lies on

(A) a circle

(B) an ellipse

(C) a straight line

(D) a parabola

**Answer:** a circle

20. The value of ?(-144) is

(A) 12i

(B) -12i

(C) ±12i

(D) None of these

**Answer:** 12i