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Maths Complex Number Skill Builder Single Correct MCQ
Published on: August 12, 2026

If is a complex number having least modulus and , then

A
B

C
D

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The correct answer is:
A

We have,

Hence, lies on a circle having center at ( ) and radius 1. It is evident from the figure that the required complex number is given by the point .
We find that makes an angle with and

So, coordinates of are ,

Hence,

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