Home Maths Complex Number The Modulus and the Conjugate of a Complex Number The locus represented by |z – 1| = |z + i| i…
Maths Complex Number The Modulus and the Conjugate of a Complex Number Single Correct MCQ
Published on: August 13, 2026

The locus represented by |z – 1| = |z + i| is –

A
A circle of radius 1
B
An ellipse with foci at (1, 0) and (0, – 1)
C
A straight line through the origin
D
A circle on the line joining (1, 0), (0, 1) as diameter

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Text Solution

Verified by Experts
The correct answer is:
C

|z – 1| = |z + i|

|z – 1| = |z – (– i)|

⇒ PA = PB

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