Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let the set of all values of 
, for which the circles 
and 
intersect at two distinct points be the interval 
. Then 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
D
Circle 1: center 
, radius 
.
Circle 2: 
, center 
, radius 3 .
Distance 
.
For two intersection points: 
.
and 
.
, so 
.
.
──────────────────────────────────────────────────────────────────────────────────────────
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 P is a point on the circle is a point on the straight line and is the perpendicular bisector …
Let the circle intersect -axis at the points and . Let , and be two points such that . Then…
If the points of intersection of the ellipses and lie on a circle of radius and centre , then t…
Let and be vectors such that and . If are the possible values of , then the equation represe…
Let PQ and MN be two straight lines touching the circle at the points A and B respectively. Let O …
Let be the equation of a chord of the circle (in the closed half-plane ) of diameter 10 passing …