JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1

If the tangent at any point

P

on the ellipse

\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1

meets the tangents at the vertices

A

and

A'

L

and

L'

respectively, then

AL.A'L' =

View answer and explanation

Correct option: D

{b^2}

Option D (

{b^2}

) is correct because the product of the lengths AL and A'L' is equal to b², a property of the ellipse.

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O