Home Maths Complex Number Skill Builder If and , then are vertices of
Maths Complex Number Skill Builder Single Correct MCQ
Published on: August 11, 2026

If and , then are vertices of

A
a right angled triangle
B
an equilateral triangle
C
isosceles triangle
D
scalene triangle

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Text Solution

Verified by Experts
The correct answer is:
B

Given

and

Equal moduli points lie on a circle centered at origin.
Sum zero their centroid is at origin.
The only three equal-length vectors whose sum is zero are separated by .
Hence they form an equilateral triangle.

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