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Mathematics · 2013
JEE Main · 23 April 2013, Shift 1 · Q80
A tangent to the hyperbola x^2/4-y^2/2=1 meets x -axis at P and y -axis at Q. Lines PR and QR are drawn such that OPRQ is a rectangle (where O is the…
A tangent to the hyperbola $\displaystyle \frac{x^2}{4}-\frac{y^2}{2}=1$ meets $\displaystyle x$-axis at P and $\displaystyle y$-axis at Q . Lines PR and QR are drawn such that OPRQ is a rectangle (where O is the origin). Then R lies on :
Official answer
(4)
$\displaystyle \frac{4}{x^2}-\frac{2}{y^2}=1$
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