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Maths Circle and System of Circles Equations of Circle, Geometrical Problems Regarding Circle, Centre of The Circle, Radius of The Circle Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

The equation of the image of the circle (x –3) 2 + (y – 2) 2 = 1 by the mirror x + y = 19 is

(x –14) 2 + (y –13) 2 = 1

(x –15) 2 + (y –14) 2 = 1

(x – 16) 2 + (y –15) 2 = 1

(x –17) 2 + (y –16) 2 = 1

Text Solution

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The correct answer is:

C ′ is the image point of C about line x + y = 19

= = –2

= = 14

x = 17, y = 16

equation of image circle (x – 17) 2 + (y – 16) 2 = 1

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