Home Maths Complex Number Skill Builder If , then are represented by
Maths Complex Number Skill Builder Single Correct MCQ
Published on: August 12, 2026

If , then are represented by

A
three vertices of a triangle
B
three collinear points
C
three vertices of a rhombus
D
none of these

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Text Solution

Verified by Experts
The correct answer is:
B

We are given:

where are complex numbers.

Step 1: Express in terms of

This is a linear combination of and .

In the complex plane, a point expressed as lies on the line joining and if .

Here, .

So are collinear.

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