Mathematics · 2018
JEE Main · 15 April 2018, Shift 2 · Q82
A normal to the hyperbola, 4 x^2-9 y^2=36 meets the co-ordinate axes x and y at A and B, respectively. If the parallelogram OABP (O being the origin)…
A normal to the hyperbola, $\displaystyle 4 x^2-9 y^2=36$ meets the co-ordinate axes $\displaystyle x$ and $\displaystyle y$ at A and B, respectively. If the parallelogram OABP (O being the origin) is formed, then the locus of P is :
Official answer
(4)
$\displaystyle 9 x^2-4 y^2=169$
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