JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1

The locus of the point of intersection of tangents to the ellipse

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

, which make complementary angles with

x

-axis, is

View answer and explanation

Correct option: D

x^2-y^2=a^2-b^2

Option D (

x^2-y^2=a^2-b^2

) is correct because it represents the locus of the intersection point of tangents to the ellipse which make complementary angles with the x-axis.

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