Home Maths Complex Number Skill Builder The locus of the center of the circle which …
Maths Complex Number Skill Builder Single Correct MCQ
Published on: August 13, 2026

The locus of the center of the circle which touches the circles and externally and are complex numbers) will be

A
an ellipse
B
a hyperbola
C
a circle
D
none of these

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Text Solution

Verified by Experts
The correct answer is:
B

Let the required circle have center and radius . For external tangency:

This is the definition of a hyperbola.

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