Description

This mock test of Complex Number MSQ for Physics helps you for every Physics entrance exam.
This contains 10 Multiple Choice Questions for Physics Complex Number MSQ (mcq) to study with solutions a complete question bank.
The solved questions answers in this Complex Number MSQ quiz give you a good mix of easy questions and tough questions. Physics
students definitely take this Complex Number MSQ exercise for a better result in the exam. You can find other Complex Number MSQ extra questions,
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*Multiple options can be correct

QUESTION: 1

If n is the smallest positive integer for which where a > 0 and b > 0 then the numerical value of b/a is :

Solution:

**n = 1 ⇒ b = 0** not possible

**n = 2** **⇒ a = 0 or b = 0 **not possible

**n = 3 ⇒ a ^{3} - ib^{3} + 3a^{2}**

The correct answers are:

*Multiple options can be correct

QUESTION: 2

If α,β be the roots o f the equation μ^{2} - 2μ + 2 = 0 and if cos θ = x + 1, then is equal to :

Solution:

The correct answers are:

*Multiple options can be correct

QUESTION: 3

The complex numbers associated with the vertices A, B, C of Δ ABC are e^{iθ}, ω,ω^{2 }respectively, where ω is imaginary cube root of unity and cos θ > Re (ω), then the complex number representing the point where angle bisector of ∠ A meets the circumcircle of triangle, is :

Solution:

⇒ A lies on major are BC

∴ angle subtended by are at O

The correct answers are: ω + ω^{2},-1

*Multiple options can be correct

QUESTION: 4

If ω is an imaginary cube root of unity such that and

then

Solution:

ω and ω^{2 } are roots of the equation

sum of roots = ω + ω^{2 + }α = 0

⇒ α = 1

⇒

The correct answers are: 2, 3, 4

*Multiple options can be correct

QUESTION: 5

Which of the following statement are true.

Solution:

**S _{3}** : Since z

∴ product of all the roots = (-1)

The correct answers are: S

*Multiple options can be correct

QUESTION: 6

If z_{1} lies on |z| = 1 and z_{2} lies on |z| = 2, then :

Solution:

The correct answers are: , ,,

*Multiple options can be correct

QUESTION: 7

lf then roots of the equation are:

Solution:

The correct answers are: z_{0},2,

*Multiple options can be correct

QUESTION: 8

Let z_{1},and z_{2} be non-zero complex numbers satisfying Then the triangle made by points with vertices at origin, z_{1} and z_{2} is :

Solution:

The correct answers are: an isosceles triangle, a right angled isosceles triangle

*Multiple options can be correct

QUESTION: 9

If z is a complex number satisfying then z lies on :

Solution:

The correct answers are: y = x, y = - x

*Multiple options can be correct

QUESTION: 10

If z_{1} = 5 + 12i and |z_{2}| = 4 then :

Solution:

z_{1} 5 + 12i,|z_{2}| = 4

The correct answers are: maximum maximum

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