Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The locus of the poles of normal chords of an ellipse is given by
Text Solution
Verified by ExpertsThe correct answer is:
A
Let the equation of the ellipse is
.....(i)
Let
be the poles.
Now polar of
w.r.t. the ellipse is given by
.....(ii)
If it is a normal to the ellipse then it must be identical with
.....(iii)
Hence comparing (ii) and (iii), we get

⇒ ⇒
and 
Squaring and adding we get, 
∴ ∴ Required locus of
is
.
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 equation of represents
The number of points of intersection of the two curves and is
If the chord joining the points and of the parabola passes through the focus of the parabola, th…
The locus of the midpoint of the line segment joining the focus to a moving point on the parabola …
On the parabola , the point least distance from the straight line is
The length of the latus-rectum of the parabola whose focus is and directrix is , is