JEE MATHEMATICS MCQ: ELLIPSE

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Analyzing +4 | -1

The locus of the point of the chord of contact of tangents from which the ellipse

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

touches the circle, is

View answer and explanation

Correct option: A

\frac{x^2}{a^4}+\frac{y^2}{b^4}=\frac{1}{c^2}

Option A (

\frac{x^2}{a^4}+\frac{y^2}{b^4}=\frac{1}{c^2}

) is correct because it represents the locus of the point from which the chord of contact of tangents to the ellipse touches the circle.

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O