Complex Numbers Test

Result

Complex Numbers Test - 7

Score
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out of -
Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D
none of these
Question 2
4 / -1

A
z lies on the imaginary axis

B
z lies on the real axis

C
z lies on the unit circle

D
None of these
Question 3
4 / -1

The points z₁, z₂, z₃ z₄ in the complex plane are the vertices of a parallelogram taken in order if and only if

A
z₁ + z₄ = z₂ + z₃

B
z₁ + z₃ = z₂ + z₄

C
z₁ + z₂ = z₃ + z₄

D
None of these

Solution
Question 4
4 / -1

If z(2- i2√3)² = i(√3 + i)⁴, then amplitude of z is

A

B

C

D
None of these

Solution
Question 5
4 / -1

If|z₁ + z₂|² = |z₁|² + |z₂|² , then z₁/z₂ is

A
purely real

B
purely imaginary

C
zero of purely imaginary

D
Neither real nor imaginary

Solution
Question 6
4 / -1

A
0, 1

B
1, 1

C
1, 0

D
– 1, 1

Solution
Question 7
4 / -1

The locus of Z satisfying the inequality

A
x² + y² < 1

B
x² - y² < 1

C
x² + y² > 1

D
2x² + 3y² < 1

Solution
Question 8
4 / -1

If (3+ i)(z + ¯z) - (2+ i) (z - ¯z) + 14i = 0, then z¯z is equal to

A
5

B
8

C
10

D
40

Solution
Question 9
4 / -1

The real part of (1 - cosθ + 2 i sinθ)^-1 is

A

B

C

D

Solution
Question 10
4 / -1

A

B
6

C
-18

D
36

Solution