Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Consider circles C 1 &C 2 touching both the axes and passing through (4,4), then the product of radii of these circles is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
32
Since circle touches both the axes and passes through (4,4), it lies in the first quadrant, so its equation is
(x - r) 2 + (y - r) 2 = r 2
(4,4) lies on it hence
r 2 -16r + 32 = 0
Hence, the product of roots (radii) = 32
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
The least value of the quadratic polynomial, f (x) = ( 2p 2 + 1) x 2 + 2 ( 4p 2 –l)x + 4(2p 2 + 1) …
A circle touches the hypotenuse of a right-angled triangle at its midpoint and passes through the m…
In the figure PQ, PO 1 and O 1 Q are the diameters of semicircles C 1 , C 2 and C 3 with centres at…
Letp and q be the length of two chords of a circle which subtend angles 36° and 60° respectively at…
If the radius of the circle passing through the origin and touching the line x + y = 2at(1,1)isr un…
The centres of two circles C 1 and C 2 each of unit radius are at a distance of 6 units from each o…