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NCERT Solutions for class 11 Maths | Chapter 5 - Complex Numbers and Quadratic Equations

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Free download in PDF Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>

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(1) Which of the following is false
[A] Multiplication of a non-zero complex number by – i rotates the point about origin through a right angle in the anti-clockwise direction
[B] Multiplication of a non-zero complex number by i rotates it through a right angle in the anti- clockwise direction
[C] If a complex number coincides with its conjugate, then the number must lie on real axis
[D] None of the above
Answer: Multiplication of a non-zero complex number by – i rotates the point about origin through a right angle in the anti-clockwise direction
(2)
[A] 1/3
[B] 2/3
[C] 5/3
[D] -5/3
Answer: 5/3

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(3) The value of
[A] 1
[B] -1
[C] 2
[D] 0
Answer: 0
(4) 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
(5) The modules of
[A] 25
[B] 5
[C] 125
[D] √5
Answer: 125
(6) The complex number in polar form will be

[A] A
[B] B
[C] C
[D] D
Answer: C
(7) The amplitude of
[A] 2π/5
[B] π/5
[C] π/15
[D] π/10
Answer: π/10
(8) Number of solutions of the equation z2+|z|2=0 is
[A] 0
[B] 1
[C] 2
[D] infinitely many
Answer: infinitely many
(9) The principal argument of is
[A] π/3
[B] 2π/3
[C] π/4
[D] -π/3
Answer: 2π/3
(10) Match the column
[A] p -> iv, q -> iii, r -> ii, c -> i
[B] p -> iii, q -> iv, r -> i, c -> ii
[C] p -> i, q -> iv, r -> ii, c -> iii
[D] p -> iii, q -> iv, r -> ii, c ->
Answer: p -> iii, q -> iv, r -> ii, c ->
(11) 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
Answer: -3i, 2i/3
(12) The equation represents a
[A] straight line
[B] circle
[C] parabola
[D] hyperbola
Answer: straight line
(13) If z is a complex number, then
[A] |z2|>|z|2
[B] |z2|=|z|2
[C] |z2|<|z|2
[D] |z2|≥|z|2
Answer: |z2|=|z|2
(14) The least positive value of n if
[A] 2
[B] 3
[C] 4
[D] 8
Answer: 4
(15) The modulus of -4 is
[A] 2
[B] -2
[C] 4
[D] -4
Answer: 4
(16) 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
Answer: 2
(17) 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
(18) If |z| < √2 - 1 then |z2 + 2x * cos a| is
[A] less than 1
[B] √2 - 1
[C] √2 + 1
[D] √2
Answer: less than 1
(19) 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
(20) 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

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