Consider a hyperbola $H_{\text {in }} x^2 2 y^2=4$. Let the tangent at a point $\mathrm{P}(4, \sqrt{6})$ meet the x -axis at Q and latus rectum at $R\left(x_1, y_1\right), x_1>0$. If $F$ is a focus of $H$ which is nearer to the point $P$, then the area of $\triangle Q F R$ is equal to
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