JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

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Application +4 | -1

The sum of the squares of the perpendicular on any tangent to the ellipse

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

from two points on the minor axis, each at a distance

\sqrt{a^2-b^2}

from the centre, is

View answer and explanation

Correct option: A

2 a^2

Option A (

2 a^2

) is correct because the sum of the squares of the perpendiculars simplifies to

2a^2

after algebraic manipulation and using the ellipse properties.

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