Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A circle touches x -axis and cuts off a chord of length 2 l from y- axis. The locus of the centre of the circle is
Text Solution
Verified by ExpertsThe correct answer is:
D
If the circle 
touches the x- axis,
then 
.....(i)
and cuts a chord of length 2 l from y- axis
….(ii)
Subtracting (i) from (ii), we get 
.
Hence the locus is 
, which is obviously a hyperbola.
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