JEE Math Practice Question

Consider a hyperbola H : x2 $$-$$ 2y2 = 4. Let the tangent at a point P(4, $${\sqrt 6 }$$) meet the x-axis at Q and latus rectum at R(x1, y1), x1 > 0. If F is a focus of H which is nearer to the point P, then the area of $$\Delta$$QFR is equal to :

1. A.$${\sqrt 6 }$$ $$-$$ 1
2. B.$${7 \over {\sqrt 6 }}$$ $$-$$ 2
3. C.$${4\sqrt 6 }$$ $$-$$ 1
4. D.$${4\sqrt 6 }$$