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Question

If the line $x-1=0$ is a directrix of the hyperbola $k x^{2}-y^{2}=6$, then the hyperbola passes through the point :

$(-2 \sqrt{5}, 6)$
$(-\sqrt{5}, 3)$
$(\sqrt{5},-2)$
$(2 \sqrt{5}, 3 \sqrt{6})$

Solution

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