Home Maths Circle and System of Circles JEE Main 2020 The equation of the image of the circle by …
Maths Circle and System of Circles JEE Main 2020 Subjective Type
Published on: August 14, 2026

The equation of the image of the circle by the line mirror

is . Find .

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235 JEE Main 2020
The center of the required circle is the image of the center with respect to the line

mirror and radius is equal to the radius of the given circle.

Let be the image of the point with respect to the line mirror. Then the mid-point of

the line joining and lies on the line mirror.

or

Also is perpendicular to

or

Solving and

Thus, the center of the image circle is . The radius of the image circle is same as the

radius of i.e., .

Hence the equation of the required circle is

i.e.

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