Home Maths Circle and System of Circles JEE Main 2020 If is a chord of the circle , then the equ…
Maths Circle and System of Circles JEE Main 2020 Subjective Type
Published on: August 13, 2026

If is a chord of the circle , then the equation of the circle of which this chord is

a diameter, is . Find .

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6 JEE Main 2020

Family of circles passing from points of intersection of circle and chord are


Its center is It lies on .

i.e.

Hence equation of circle is .

Trick: Since is the line passing through origin and through and quadrant. Also centre

of the given circle lies on positive -axis, therefore, the centre of required circle will be in

quadrant and must satisfy the given line and its equation is given by

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