Complex Numbers Test

Result

Complex Numbers Test - 76

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
z lies only on a circle

B
z lies only on the real axis

C
z lies either on the real axis or on a circle

D
none of these

Solution
Question 2
4 / -1

If z satisfies | z − 1| < | z + 3 |, then ω = 2z + 3 − i satisfies

A
| ω − 5 − i | < | ω + 3 + i |

B
|ω − 5| < |ω + 3| and Re (ω) > 1

C
Im (iω) < 1

D
|arg (ω − 1) | < π/2

Solution
Question 3
4 / -1

A

B
ω²

C
2ω²

D
3ω²

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

A
1

B
2

C
3

D
4

Solution
Question 6
4 / -1

A

B

C

D
none of these

Solution
Question 7
4 / -1

A

B

C

D
none of these

Solution
Question 8
4 / -1

The common roots of the equation z³ + 2z² + 2z + 1 = 0 and z¹⁹⁸⁵ + z¹⁰⁰ + 1 = 0 are

A
1, ω

B
1, ω²

C
ω, ω²

D
none of these

Solution
Question 9
4 / -1

Let z be a root of x⁵ − 1 = 0, with z ≠ 1 Then the value of z¹⁵+ z¹⁶ + z¹⁷ +....+ z⁵⁰ is equal to :

A
1

B
2

C
ω

D
none of these

Solution
Question 10
4 / -1

A

B

C

D
none of these

Solution