Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A line is drawn through a fixed point
to cut the circle
at A and B . Then
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
B
Let the equation of line through the point
be
(say) ….(i)
where k is the distance of any point ( x, y ) on the line from the point
. Let this line meets the circle
at
.

or
,
which is a quadratic in k . If
and
are its roots and the line (i) meets circle at A and B , then
and
.
Products of roots
.

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
A point P moves in such a way that the ratio of its distances from two coplanar points is always fi…
The equation of a circle with origin as centre passing through the vertices of an equilateral trian…
If the line is a diameter of the circle then b =
The centre of the circle is
Let be the equation of a circle. If has equal roots and has roots then the centre of the circl…
If the lines and are tangents to a circle, then the radius of the circle is