A normal to the hyperbola, $4x^2 - 9y^2\, = 36$ meets the co-ordinate axes $x$ and $y$ at $A$ and $B$, respectively . If the parallelogram $OABP$ ( $O$ being the origin) is formed, then the locus of $P$ is
A normal to the hyperbola, $4x^2 - 9y^2\, = 36$ meets the co-ordinate axes $x$ and $y$ at $A$ and $B$, respectively . If the parallelogram $OABP$ ( $O$ being the origin) is formed, then the locus of $P$ is
- [JEE MAIN 2018]
- A
$4x^2 -9y^2\, = 121$
- B
$4x^2 +9y^2\,= 121$
- C
$9x^2 -4y^2\, = 169$
- D
$9x^2 +4y^2\, = 169$
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