Description

This mock test of Complex Number MCQ Level - 1 for IIT JAM helps you for every IIT JAM entrance exam.
This contains 10 Multiple Choice Questions for IIT JAM Complex Number MCQ Level - 1 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Complex Number MCQ Level - 1 quiz give you a good mix of easy questions and tough questions. IIT JAM
students definitely take this Complex Number MCQ Level - 1 exercise for a better result in the exam. You can find other Complex Number MCQ Level - 1 extra questions,
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QUESTION: 1

is purely imaginary then z lies on :

Solution:

locus of z is circle.

The correct answer is: a circle

QUESTION: 2

Vector z = 3 - 4i is turned anticlockwise throuah an anale 180° and stretched 2.5 times. Complex number corresponding to newly obtained vector is :

Solution:

**z = 3 - 4i**

Newly obtained vector is

The correct answer is:

QUESTION: 3

If 1, α_{1}, α_{2},..................α_{n-1 }are nth root of unity then is :

Solution:

( x^{n} - 1) = ( x - 1 ) ( x - α_{1}) (x - α_{2})......(x - α_{n }- 1)

log(x^{n} - 1) = log (x - 1) + log ( x - α_{1}) +.......+ log ( x - α_{n - 1})

Differentiate w.r.t. x

The correct answer is:

QUESTION: 4

If z = cos θ + i sin θ, then is equal to :

Solution:

The correct answer is:

QUESTION: 5

If conjugate of ( x + iy) ( 1 - 2i ) be 1 + i the x and y are :

Solution:

⇒ ( x - iy)(1 + 2i) = 1 + i

so x + 2y = 1

The correct answer is:

QUESTION: 6

Amplitude of

Solution:

so amplitude =

The correct answer is:

QUESTION: 7

If ω≠ 1 is a cube root of unity, then sum of series

S = 1 + 2ω + 3ω + .... + 3nω^{3n-}^{1}(n ∈ N )

Solution:

QUESTION: 8

If is purely imaginary, then z lies on a :

Solution:

is purely imaginary

The correct answer is: circle

QUESTION: 9

Solution:

The correct answer is:

QUESTION: 10

If (x - iy) + i (3x + iy) = n ∈ N then pair (x,y) is :

Solution:

by comparison x - y = - 1

x - y = -1

3x - y = -1

So, x = 0, y = 1

The correct answer is: (0,1)

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