Home Maths Conic Sections Mix The locus of the poles of normal chords of a…
Maths Conic Sections Mix Single Correct MCQ
Published on: August 13, 2026

The locus of the poles of normal chords of an ellipse is given by

A
B
C
D

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The 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 .

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