Home Maths Complex Number All Topic Question for Revision Test The minimum value of as and vary over the…
Maths Complex Number All Topic Question for Revision Test Single Correct MCQ
Published on: August 13, 2026

The minimum value of as and vary over the curves and respectively is [JEE (Main) 2012]

A
B

C
D

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Text Solution

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The correct answer is:
B

We have,

……… . (i)

Clearly, it represents a circle having center at and radius . It is given that lies on (i).

The equation of another curve is

or,

or,

or,

This represents perpendicular bisector of the line segment joining point and . The coordinates of the mid-point of are . Clearly, and the centre of the circle are collinear.

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