Home Maths Complex Number All Topic Question for Revision Test If and are two complex numbers such that …
Maths Complex Number All Topic Question for Revision Test Single Correct MCQ
Published on: August 13, 2026

If and are two complex numbers such that , then which one of the following is not true?

A
B

C
D
all of these

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Text Solution

Verified by Experts
The correct answer is:
D

Given the equation:

Using the complex modulus property :

The factored equation tells us that either OR

Option claims that both must be equal to 1 simultaneously, which is not mandatory.

Option claims must lie on the unit circle , which is false if .

Option claims must lie on the unit circle , which is false if .

Since none of the individual statements ( , or c ) are guaranteed to be true, all of them are considered "not true" as standalone requirements.

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