IIT JAM > Topic wise Tests for IIT JAM Physics > Complex Number MSQ

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*Multiple options can be correct

Complex Number MSQ - 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 :

Detailed Solution for Complex Number MSQ - Question 1

**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

Complex Number MSQ - Question 2

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

Detailed Solution for Complex Number MSQ - Question 2

The correct answers are:

*Multiple options can be correct

Complex Number MSQ - 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 :

Detailed Solution for Complex Number MSQ - Question 3

⇒ 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

Detailed Solution for Complex Number MSQ - Question 4

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

Detailed Solution for Complex Number MSQ - Question 5

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

∴ product of all the roots = (-1)

The correct answers are: S

*Multiple options can be correct

Detailed Solution for Complex Number MSQ - Question 6

The correct answers are: , ,,

*Multiple options can be correct

Detailed Solution for Complex Number MSQ - Question 7

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

*Multiple options can be correct

Complex Number MSQ - 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 :

Detailed Solution for Complex Number MSQ - Question 8

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

*Multiple options can be correct

Detailed Solution for Complex Number MSQ - Question 9

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

*Multiple options can be correct

Detailed Solution for Complex Number MSQ - Question 10

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

The correct answers are: maximum maximum

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