Complex Numbers and Quadratic Equations MCQ Questions for Class 11 Math’s Chapter 5 with Answers

Q1. The curve represented by Im(z²) = k, where k is a non-zero real number, is

(i) a pair of striaght line
(ii) an ellipse
(iii) a parabola
(iv) a hyperbola

(iv) a hyperbola

(i) 13 i
(ii) -13 i
(iii) 17 i
(iv) -17 i

(iii) 17 i

Q3. The modulus of 1 + i√3 is

(i) 1
(ii) 2
(iii) 3
(iv) None of these

(ii) 2

Q4. The value of √(-144) is

(i) 12i
(ii) -12i
(iii) ±12i
(iv) None of these

(i) 12i

(i) 6
(ii) 0
(iii) 4
(iv) 10

(i) 6

(i) 2
(ii) √2
(iii) 0
(iv) 2√2

(i) 2

(i) -2√3 + 2i
(ii) 2√3 + 2i
(iii) 2√3 – 2i
(iv) -√3 + i

(i) -2√3 + 2i

(i) 4
(ii) i
(iii) 1
(iv) 4+i

(i) 4

(i) 3
(ii) -3
(iii) 4
(iv) -4

(i) 3

(i) 1
(ii) -1
(iii) ω
(iv) ω²

(ii) -1

Q11. If (x + iy) (2 – 3i) = 4 + i, then

(i) x = – 14/13, y = 5/13
(ii) x = 5/13, y = 14/13
(iii) x = 14/13, y = 5/13
(iv) x = 5/13, y = – 14/13

(ii) x = 5/13, y = 14/13

(i) 13i
(ii) -13i
(iii) 17i
(iv) -17i

(iii) 17i

(i) 1
(ii) 2
(iii) 3
(iv) 4

(ii) 2

Q14. 1 + i2 + i4 + i6 + … + i2n is

(i) positive
(ii) negative
(iii) 0
(iv) cannot be determined

(iv) cannot be determined

Q15. Find real θ such that (3 + 2i × sin θ)/(1 – 2i × sin θ) is real

(i) π
(ii) nπ
(iii) nπ/2
(iv) 2nπ

(ii) nπ

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