Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let the mirror image of a circle c 1 : x 2 + y 2 - 2x -6y + 
= 0 in line y = x + 1 be c 2 : 5x 2 + 5y 2 + 10gx + 10fy + 38 = 0. If r is the radius of circle c 2 , then 
+ 6r 2 is equal to________
Text Solution
Verified by ExpertsThe correct answer is:
12
(12)
Image of centre c 1 
(1,3) in x - y + 1 = 0 is given by
Centre of circle c 2 
(2,2)
Equation of c 2 be x 2 + y 2 - 4x - 4y + 
= 0
Now radius of c 2 is 
(radius of c 1 ) 2 = (radius of c 2 ) 2
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Let a circle C touch the lines L 1 : 4x - 3y + K 1 = 0 and L 2 : 4x - 3y + K 2 = 0, K 1 , K 2 R. I…
A circle touches both the y-axis and the line x + y = 0. Then the locus of its center is
Let C be a circle passing through the points A(2, -1) and B(3, 4). The line segment AB is not a dia…
The set of values of k for which the circle
C : 4x 2 +4y 2 -12x + 8y+k=0 lies inside the fourth qua…
If the tangents drawn at the point O(0, 0) and on the circle x 2 + y 2 - 2x - 4y = 0 intersect at …
Let the tangent to the circle C 1 :x 2 +y 2 = 2 at the point M(-1,1) intersect the circle C 2 : (x …