JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

1 of 1

Application +4 | -1

If chords of contact of the tangent from two points

(x_1, y_1)

and

(x_2, y_2)

to the ellipse

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

are at right angles, then

\frac{x_1x_2}{a^2} \times \frac{y_1y_2}{b^2}

is equal to

View answer and explanation

Correct option: C

\frac{-a^4}{b^4}

Option C (

\frac{{-a^4}}{{b^4}}

) is correct because the product of the slopes of the chords of contact must equal -1 due to their perpendicularity.

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