Home Maths Complex Number Telangana & AP CET Previous Year Question If is a complex number whose modulus is one…
Maths Complex Number Telangana & AP CET Previous Year Question Single Correct MCQ
Published on: August 12, 2026

If is a complex number whose modulus is one, then the equation has

A
real and equal roots
B
real and distinct roots
C
two real and two complex roots
D
all complex roots

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Verified by Experts
The correct answer is:
D

We have,

Take common from above expression.

Take modulus both side

complex numbers lies on -axis.
lies on perpendicular bisector of and .
lies on -axis.
has all complex roots.

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