Home Maths Complex Number Skill Builder If , then z is represented by a point lying…
Maths Complex Number Skill Builder Single Correct MCQ
Published on: August 12, 2026

If , then z is represented by a point lying on

A
a circle
B
an ellipse
C
a straight line
D
none of these

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Text Solution

Verified by Experts
The correct answer is:
C

We are solving:

Step 1: Substitute :

Step 2: Multiply numerator and denominator by conjugate of denominator to find the real part:

Step 3: Set equal to and simplify:

Conclusion:

This is a straight line in the -plane.

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