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Ellipse question

2023 · 12 Apr · Shift 1 · Q31

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PYQ Library
JEE Main
Mathematics
Ellipse
2023 · 12 Apr · Shift 1 · Q31

Ellipse question

2023 · 12 Apr · Shift 1 · Q31

JEE MainMathematicsEllipseMCQ+4 / −1

Let

\mathrm{P}\left(\frac{2 \sqrt{3}}{\sqrt{7}}, \frac{6}{\sqrt{7}}\right), \mathrm{Q}, \mathrm{R}

and

\mathrm{S}

be four points on the ellipse

9 x^{2}+4 y^{2}=36

. Let

\mathrm{PQ}

and

\mathrm{RS}

be mutually perpendicular and pass through the origin. If

\frac{1}{(P Q)^{2}}+\frac{1}{(R S)^{2}}=\frac{p}{q}

, where

p

and

q

are coprime, then

p+q

is equal to :

A
143
B
147
C
137
D
157

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