# TOP 100+ Complex Numbers And Quadratic Equations Class 11 MCQ and Answers

## 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

2. Number of solutions of the equation z2+|z|2=0 is

(A) 0

(B) 1

(C) 2

(D) infinitely many

3. The roots of quadratic equation 3x2+7ix+6=0 is

(A) 3i, 2i/3

(B) 3i, -2i/3

(C) -3i, -2i/3

(D) -3i, 2i/3

4. If z is a complex number, then

(A) |z2|>|z|2

(B) |z2|=|z|2

(C) |z2|<|z|2

(D) |z2|≥|z|2

5. The modulus of -4 is

(A) 2

(B) -2

(C) 4

(D) -4

6. For all complex numbers z1 , z2 satisfying | z1 | = 12 and | z2 – 3 – 4i | = 5, the minimum value of | z1 – z2 | is

(A) 0

(B) 2

(C) 7

(D) 17

7. Which one is correct

(A) 1 + i < 2 + i

(B) 1 + i > 2 + i

(C) 1 + i = 2 + i

(D) one of these

8. If |z| < √2 – 1 then |z2 + 2x * cos a| is

(A) less than 1

(B) √2 – 1

(C) √2 + 1

(D) √2

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

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

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

(A) π

(B) -π

(C) -π/2

(D) π/2

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

13. The value of i-999 is

(A) 1

(B) -1

(C) i

(D) -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

15. The value of √(-16) is

(A) -4i

(B) 4i

(C) -2i

(D) 2i

16. If ω is an imaginary cube root of unity, then (1 + ω – ω²)7 equals

(A) 128 ω

(B) -128 ω

(C) 128 ω²

(D) -128 ω²

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

(A) -2√3 + 2i

(B) 2√3 + 2i

(C) 2√3 – 2i

(D) -√3 + i

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

(A) 13i

(B) -13i

(C) 17i

(D) -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

20. The value of √(-144) is

(A) 12i

(B) -12i

(C) ±12i

(D) None of these