Complex Numbers and Quadratic Equations MCQ Questions for Class 11 Maths Chapter 5 with Answers

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 11 Mathematics book Chapter 5 Complex Numbers and Quadratic Equations with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam taking the help of the Class 11 Maths Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Complex Numbers and Quadratic Equations. Each Questions has four options followed by the right answer. Download the Maths Quiz Questions with Answers for Class 11 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. The value of √(-25) + 3√(-4) + 2√(-9) is

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

(iii) 17 i

Q2. The value of √(-144) is

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

(i) 12i

Q3. The modulus of √2i – – √2i is:

(i) 2
(ii) √2
(iii) 0
(iv) 2√2

(i) 2

Q4. In z=4+i, what is the real part?

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

(i) 4

Q5. If the cube roots of unity are 1, ω and ω², then the value of (1 + ω / ω²)³ is

(i) 1
(ii) -1
(iii) ω
(iv) ω²

(ii) -1

Q6. The value of √(-25) + 3√(-4) + 2√(-9) is

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

(iii) 17i

Q7. 1 + i2 + i4 + i6 + … + i2n is

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

(iv) cannot be determined

Q8. (x+3) + i(y-2) = 5+i2, find the values of x and y.

(i) x=8 and y=4
(ii) x=2 and y=4
(iii) x=2 and y=0
(iv) x=8 and y=0

(ii) x=2 and y=4

Q9. If {(1 + i)/(1 – i)}ⁿ = 1 then the least value of n is

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

(iv) 4

Q10. if z lies on |z| = 1, then 2/z lies on

(i) a circle
(ii) an ellipse
(iii) a straight line
(iv) a parabola

(i) a circle

Q11. If z = 2 – 3i, then the value of z² – 4z + 13 is

(i) 1
(ii) –1
(iii) 0
(iv) None of these

(iii) 0

Q12. If z and w be two complex numbers such that |z| ≤ 1, |w| ≤ 1 and |z + iw| = |z – iw| = 2, then z equals {w is congugate of w}

(i) 1 or i
(ii) i or – i
(iii) 1 or – 1
(iv) i or – 1

(iii) 1 or –1

Q13. If ω is an imaginary cube root of unity, then (1 + ω – ω²)7 equals

(i) 128 ω
(ii) -128 ω
(iii) 128 ω²
(iv) -128 ω²

(iv) -128 ω²

Q14. If c + i/c-i = a + ib, where a, b, c are real, then a2 + b2 is equal to:

(i) 7
(ii) 1
(iii) c2
(iv) – c2

(ii) 1

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

Q16. The least value of n for which {(1 + i)/(1 – i)}ⁿ is real, is

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

(ii) 2

Q17. 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

Q18. The real part of the complex number √9 + √(-16) is

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

(i) 3

Q19. Let z be a complex number such that |z| = 4 and arg(z) = 5π/6, then z =

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

(i) -2√3 + 2i

Q20. If | z + 4 | £ 3, then the maximum value of
| z + 1 | is

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

(i) 6

Q21. The modulus of 1 + i√3 is

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

(ii) 2

Q22. 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

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MCQ Questions for Class 11 Mathematics Chapter wise with Answers


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