Q. Consider a branch of the hyperbola $x^{2}-2 y^{2}-2 \sqrt{2} x - 4 \sqrt{2} y-6=0$ with vertex at the point $A$. Let $B$ be one of the endpoints of its latus rectum. If $C$ is the focus of the hyperbola nearest to the point $A$, then the area of triangle $A B C$ is
Conic Sections
Solution: