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Maths Circle and System of Circles Mix Single Correct MCQ
Published on: August 13, 2026

A variable chord is drawn through the origin to the circle . The locus of the centre of the circle drawn on this chord as diameter, is

A
B
C
D

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The correct answer is:
C

Suppose mid point of chord be ( h, k ), then its equation is

It passes through origin, then

Hence locus of mid point is .

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