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IIT JAM Exam  >  IIT JAM Tests  >  Complex Number MCQ Level - 1 - IIT JAM MCQ

Complex Number MCQ Level - 1 - IIT JAM MCQ


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10 Questions MCQ Test - Complex Number MCQ Level - 1

Complex Number MCQ Level - 1 for IIT JAM 2024 is part of IIT JAM preparation. The Complex Number MCQ Level - 1 questions and answers have been prepared according to the IIT JAM exam syllabus.The Complex Number MCQ Level - 1 MCQs are made for IIT JAM 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Complex Number MCQ Level - 1 below.
Solutions of Complex Number MCQ Level - 1 questions in English are available as part of our course for IIT JAM & Complex Number MCQ Level - 1 solutions in Hindi for IIT JAM course. Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free. Attempt Complex Number MCQ Level - 1 | 10 questions in 30 minutes | Mock test for IIT JAM preparation | Free important questions MCQ to study for IIT JAM Exam | Download free PDF with solutions
Complex Number MCQ Level - 1 - Question 1
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 is purely imaginary then z lies on :

Detailed Solution for Complex Number MCQ Level - 1 - Question 1


locus of z is circle.
The correct answer is: a circle

Complex Number MCQ Level - 1 - Question 2
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Vector z = 3 - 4i is turned anticlockwise throuah an anale 180° and stretched 2.5 times. Complex number corresponding to newly obtained vector is :

Detailed Solution for Complex Number MCQ Level - 1 - Question 2

z = 3 - 4i
Newly obtained vector is

The correct answer is: 

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Complex Number MCQ Level - 1 - Question 3
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If 1, α1, α2,..................αn-1 are nth root of unity then is :

Detailed Solution for Complex Number MCQ Level - 1 - Question 3

( xn - 1) = ( x - 1 ) ( x - α1) (x - α2)......(x - αn - 1)
log(xn - 1) = log (x - 1) + log ( x - α1) +.......+ log ( x - αn - 1)
Differentiate w.r.t. x

The correct answer is: 

Complex Number MCQ Level - 1 - Question 4
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If z = cos θ + i sin θ, then  is equal to :
Detailed Solution for Complex Number MCQ Level - 1 - Question 4


The correct answer is: 

Complex Number MCQ Level - 1 - Question 5
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If conjugate of ( x + iy) ( 1 - 2i ) be 1 + i the x and y are :
Detailed Solution for Complex Number MCQ Level - 1 - Question 5


⇒ ( x - iy)(1 + 2i) = 1 + i
so x + 2y = 1

The correct answer is: 

Complex Number MCQ Level - 1 - Question 6
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Amplitude of 
Detailed Solution for Complex Number MCQ Level - 1 - Question 6


so amplitude = 
The correct answer is: 

Complex Number MCQ Level - 1 - Question 7
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If  ω≠ 1 is a cube root of unity, then sum of series
S = 1 + 2ω + 3ω + .... + 3nω3n-1(n ∈ N )
Detailed Solution for Complex Number MCQ Level - 1 - Question 7

Complex Number MCQ Level - 1 - Question 8
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If  is purely imaginary, then z lies on a :
Detailed Solution for Complex Number MCQ Level - 1 - Question 8

 is purely imaginary


The correct answer is: circle

Complex Number MCQ Level - 1 - Question 9
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Detailed Solution for Complex Number MCQ Level - 1 - Question 9


The correct answer is:  

Complex Number MCQ Level - 1 - Question 10
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If (x - iy) + i (3x + iy) = n ∈ N then pair (x,y) is :
Detailed Solution for Complex Number MCQ Level - 1 - Question 10


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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Complex Number MCQ Level - 1

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