Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A circle C of radius unity touches both the co-ordinate axes and lies in the first quadrant. If the circle C1which also touches both the axis and lies in the Ist quadrant intersects C orthogonally then the radius of C1 can be equal to
A
2 – 
B
2 + 
C
3
D
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b )
The circle C is x2 + y2 – 2x – 2y + 1 = 0 and
C1 is x2 + y2 – 2rx – 2ry + r2 = 0
They intersect orthogonally of 2(r + r) = 1+ r2 ⇒ r = 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
If the straight line is outside the circle then
The locus of the middle points of those chords of the circle which subtend a right angle at the or…
If circles and touch each other, then
There are two circles whose equations are and If the two circles have exactly two common tangents…
The equation of the circle through the points of intersection of the circles
and with its centre …
The equation of the image of the circle by the line mirror is