Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If
is a chord of the circle
, then the equation of the circle of which this chord is
a diameter, is
. Find
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
6 JEE Main 2020
Family of circles passing from points of intersection of circle and chord are
Its center is
It lies on
.
i.e. 


Hence equation of circle is
.


Trick: Since
is the line passing through origin and through
and
quadrant. Also centre
of the given circle lies on positive
-axis, therefore, the centre of required circle will be in 
quadrant and must satisfy the given line
and its equation 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
Let the tangents drawn from the origin to the circle, touch it at the point and . The is equal …
If a line, is a tangent to the circle, and it is perpendicular to a line where is the tangent t…
If a circle touches -axis at and passes through then which of the following can-not be the tange…
The circle passing through the intersection of the circles and having its centre on the line, al…
If the length of the chord of the circle, along the line, is then is equal to:
The centre of the circle passing through the point and touching the parabola at thepoint is: