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# Find the equation of the hyperbola with focus $(2,2) \; e=2$ and directrise $x+y=9$

$\begin{array}{1 1}(A)\;x^2+y^2+4xy-32x-32y+154=0 \\(B)\;x^2-y^2-4xy-32x-32y+154=0 \\(C)\;x^2-y^2-4xy+32x+32y+54=0 \\(D)\;x^2+y^2+4xy+32x+32y+80=0 \end{array}$

Can you answer this question?

Let $P(x,y)$ be any point on the hyperbola