One vertex of an equilateral triangle is at the origin and …

Maths Complex Number The Modulus and the Conjugate of a Complex Number Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

One vertex of an equilateral triangle is at the origin and the other two vertices are given by , then k is -

-1

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The correct answer is:

Since is a complex number, we must have ive or or

Hence the roots are
∴ Vertices A, B, C are

Since the triangle is equilateral

or
or and it is > as required by (1).

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