Home Maths Complex Number Skill Builder If , then the locus of is
Maths Complex Number Skill Builder Single Correct MCQ
Published on: August 13, 2026

If , then the locus of is

A
ellipse
B
semicircle
C
parabola
D
straight line

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Text Solution

Verified by Experts
The correct answer is:
B

Let . Then,

…………… (i)

and …………… (ii)

From Eqs. (i) and (ii),

Obviously it is a semicircle as . Hence, part of the circle lies below the -axis.

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