Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Each of the two orthogonal circles
and
passes through both the points
and
. If
is a common tangent to these circles, then
Text Solution
Verified by ExpertsThe correct answer is:
A
Let the equation of the circle be

Since, this circle is passes through
and
, we get

On solving Eqs. (i) and (ii), we get

Equation of circle
Now,
is tangent of circle

Let
and
are roots of equation,

Now, equation of this circle are

Since, both the circles are orthogonal.


──────────────────────────────────────────────────────────────────────────────────────────
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 circle touching the coordinate axes with its centre lying on is
Suppose a circle passes through and having its centre at . Then the value of is
For any real number , the point lies on on a/an
The area of the circle passing through the points , is
The ratio of the largest and shortest distances from the point to the circle is
A circle has its centre in the first quadrant and passes through . If this circle makes intercepts…