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JEE Main

Exam: JEE Main
Subject: Mathematics
Chapter: Ellipse

JEE Main · Mathematics · Ellipse

A B is a variable chord of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 ....

A B

is a variable chord of the ellipse

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

. If

A B

subtends a right angle at the origin

O

, then

\frac{1}{OA^2}+\frac{1}{OB^2}

equals to

A B is a variable chord of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If A B subtends a right angle at the origin O , then

Options

A $\frac{1}{a^2}+\frac{1}{b^2}$
B $\frac{1}{a^2}-\frac{1}{b^2}$
C $a^2+b^2$
D $a^2-b^2$

Correct answer

A. $\frac{1}{a^2}+\frac{1}{b^2}$

Step-by-step solution

A B is a variable chord of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If A B subtends a right angle at the origin O , then

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