Home Maths Complex Number Skill Builder The locus of point satisfying , is
Maths Complex Number Skill Builder Single Correct MCQ
Published on: August 12, 2026

The locus of point satisfying , is

A
a pair of straight lines
B
a circle
C
a rectangular hyperbola
D
none of these

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Text Solution

Verified by Experts
The correct answer is:
A

We are asked:

Locus of such that

Step 1: Let

Condition:

Step 2: Conclusion

The locus is two straight lines through the origin: and

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