Home Maths Complex Number Skill Builder If is a complex number satisfying , then …
Maths Complex Number Skill Builder Single Correct MCQ
Published on: August 13, 2026

If is a complex number satisfying , then has the value

A
, when is a multiple of 3
B
, when is not a multiple of 3
C
, when is a multiple of 3
D
0 when is not a multiple of 3

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Verified by Experts
The correct answer is:
A

Solve quadratic:

Step 2: Use formula for powers

Let , then

Now check pattern:

In particular, when is a multiple of

So the formula: when is a multiple of 3

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