Let P be on circle coordinates | Maths | JEE ADVANCED 2018

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JEE Advance2018

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Question

Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N . Then, the mid-point of the line segment MN must lie on the curve

Select the correct option:

A

$(x+y)^2=3 x y$

B

$x^{2 / 3}+y^{2 / 3}=2^{4 / 3}$

C

$x^2+y^2=2 x y$

D

$x^2+y^2=x^2 y^2$

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