Question

Consider the parabola $y^{2}=4 x .$ Let $P$ and $Q$ be points on the parabola where $P .(4,-4) \& Q(9,6) .$ Let $R$ be a point on the arc of the parabola between $\mathrm{P} \& \mathrm{Q}$. Then the area of $\triangle \mathrm{PQR}$ is largest when
(A) $\angle \mathrm{PQR}=90^{\circ}$
(B) $R(4,4)$
(C) $\mathrm{R}\left(\frac{1}{4}, 1\right)$
(D) $\mathrm{R}\left(1, \frac{1}{4}\right)$
Ans: (C)

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