Home Maths Complex Number General The locus of the points representing the com…
Maths Complex Number General Single Correct MCQ
Published on: August 13, 2026

The locus of the points representing the complex numbers z for which |z| – 2 = 0, |z – i| – |z + 5i| = 0 is-

A
A circle with center at origin
B
A straight line passing through origin
C
The single point (0, –2)
D
None of these

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The correct answer is:
C

represents points on a circle centered at and of radius 2.
i.e.,
represents points equidistant from the points and

i.e., (2)

Putting , we get from (1). Hence both imply the single point .

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