Consider a hyperbola H : x2 – 2y2 = 4. Let the tangent at a point P(4, √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 △QFR is equal to
(1) 4√6
(2) √6 - 1
(3) \(\frac{7}{\sqrt6}\) - 2
(4) 4√6 - 1