JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1

The locus of the point of intersection of perpendicular tangents to

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

and

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

, is

View answer and explanation

Correct option: C

x^2+y^2=a^2+b^2+\lambda

Option C (

x^2+y^2=a^2+b^2+\lambda

) is correct because it represents the locus of the intersection point of perpendicular tangents to the two given ellipses.

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