Complex Number MCQ Level - 2 - Physics MCQ

# Complex Number MCQ Level - 2 - Physics MCQ

Test Description

## 10 Questions MCQ Test Topic wise Tests for IIT JAM Physics - Complex Number MCQ Level - 2

Complex Number MCQ Level - 2 for Physics 2024 is part of Topic wise Tests for IIT JAM Physics preparation. The Complex Number MCQ Level - 2 questions and answers have been prepared according to the Physics exam syllabus.The Complex Number MCQ Level - 2 MCQs are made for Physics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Complex Number MCQ Level - 2 below.
Solutions of Complex Number MCQ Level - 2 questions in English are available as part of our Topic wise Tests for IIT JAM Physics for Physics & Complex Number MCQ Level - 2 solutions in Hindi for Topic wise Tests for IIT JAM Physics course. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free. Attempt Complex Number MCQ Level - 2 | 10 questions in 45 minutes | Mock test for Physics preparation | Free important questions MCQ to study Topic wise Tests for IIT JAM Physics for Physics Exam | Download free PDF with solutions
Complex Number MCQ Level - 2 - Question 1

### The point of intersection the curves arg ( z - i + 2 ) =  and arg ( z + 4 - 3i ) =  is given by

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

⇒ y + x = - 1 ,x > - 4 , y < 3 ...(2)
so, there is no point of intersection.
The correct answer is: None of these

Complex Number MCQ Level - 2 - Question 2

### If 1, α1,α2,α3.........and α8 re nine, ninth roots of unity (taken in counter- clockwise sequence) then | ( 2 - α1 ) (2 - α3) ( 2 - α5 ) ( 2 - α7 ) | is equal to :

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

( x - 1 ) ( x - α1) ( x - α2) ...( x - α8) ≡ x9 - 1
∴ ( 2 - α1 )  ( 2 - α2 )... ( 2 - α8 ) = 2- 1
Now since  2 - αand 2 - α) are conjugates of each other

similarly

and

 1 Crore+ students have signed up on EduRev. Have you?
Complex Number MCQ Level - 2 - Question 3

### If 'z' is complex number then the locus of ‘z’ satisfying the condition |2z - 1| = | z - 1 | is

Detailed Solution for Complex Number MCQ Level - 2 - Question 3

or

Let us write z as x+iy
We then have ∣2z−1∣=∣z−1∣
⇒4x2−8x+1+4y2=x2−2x+1+y2
⇒3x2+3y2−6x=0 which is a circle.
So, locus of z is a circle.

Complex Number MCQ Level - 2 - Question 4

If t and c are two complex numbers such that | t |  = 1 and z =  z = x + iy , Locus of z is (where a, b are complex numbers)

Detailed Solution for Complex Number MCQ Level - 2 - Question 4

|t| = 1

Complex Number MCQ Level - 2 - Question 5

If ω is an imaginary cube root of unity, then (1+ ω - ω2 )7 is equal to

Detailed Solution for Complex Number MCQ Level - 2 - Question 5

T he correct answer is: -128 ω2

Complex Number MCQ Level - 2 - Question 6

The principal argument of the complex number

Detailed Solution for Complex Number MCQ Level - 2 - Question 6

∴ argument

∴ principal argument is

Complex Number MCQ Level - 2 - Question 7

If a complex number z satisfies | 2z + 10 + 10i | < 5 √3 - 5, then the least principal argument of z is.

Detailed Solution for Complex Number MCQ Level - 2 - Question 7

Point B has least principal argument

Complex Number MCQ Level - 2 - Question 8

Image of the point, whose affix is  in the line (1 + i ) z + ( 1 - i ) is the point whose affix is :

Detailed Solution for Complex Number MCQ Level - 2 - Question 8

Equation of the line is 2x - 2y = 0
i.e. y = x

Complex Number MCQ Level - 2 - Question 9

Let S denote the set of all complex numbers z satisfying the inequality |z - 5i| < 3.The complex numbers z in S having least positive argument is :

Detailed Solution for Complex Number MCQ Level - 2 - Question 9

See the figure

|z - 5i| < 3
the point is ( 4 cosθ, 4 sinθ)

Complex Number MCQ Level - 2 - Question 10

Number of solution of the equation  where z is a complex number is :

Detailed Solution for Complex Number MCQ Level - 2 - Question 10

Let

Since ‘r ’ cannot be zero

which will hold for
and 5 distinct value o f 'O'
Thus there are five solution.

## Topic wise Tests for IIT JAM Physics

217 tests
Information about Complex Number MCQ Level - 2 Page
In this test you can find the Exam questions for Complex Number MCQ Level - 2 solved & explained in the simplest way possible. Besides giving Questions and answers for Complex Number MCQ Level - 2, EduRev gives you an ample number of Online tests for practice

217 tests