Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the equation of a circle of radius 5 units whose centre lies on
-axis and passes through the point
.
Text Solution
Verified by ExpertsThe correct answer is:
C
: Let the coordinates of the centre of the required circle be
. Since it passes through
.
radius 

or 
Thus, the coordinates of the centre are
or
.
Hence, the equations of the required circle are
and 
and 
──────────────────────────────────────────────────────────────────────────────────────────
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 sides of a rectangle are given by and . The equation of the circle passing through the vertic…
The intercept on the line by the circle is . The equation of the circle with as a diameter is
The equation of tangents to the circle which are parallel to are
The parametric equation of the circle are
The equation of the circle whose centre lies on the line and which passes through the points and …
If the line intersects the circle at two distinct points, then the number of possible values of …