Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the circles 
and 
cut orthogonally, then the length of the common chord of the circles is
A
B
2
C
5
D
8
Text Solution
Verified by ExpertsThe correct answer is:
B
: As two circles
(i)
and 
(ii)
cut orthogonally
Then, 
.
Equation of common chord is
Length of perpendicular from the centre 
of circle (ii) upon the common chord (iii) is
Radius of circle (ii) 
So, the length of the common chord is given by
.
──────────────────────────────────────────────────────────────────────────────────────────
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
and are the parametric equations of
If the distance between the foci and the distance between the directrices of the hyperbola are in …
The ellipse and the hyperbola have in common
If the length of the tangent from any point on the circle to the circle is 16 units, then the are…
The circles and and ) cut orthogonally if
The equation of the common tangent of the two touching circles, and is