A man starts walking from the point touches | Straight Lines

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JEE MAIN 2021

01-09-2021 S2

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A man starts walking from the point $P(-3,4)$, touches the $x$-axis at $R$, and then turns to reach at the point $Q(0$, 2). The man is walking at a constant speed. If the man reaches the point $Q$ in the minimum time, then $50\left((P R)^2+(R Q)^2\right)$ is equal to $\_\_\_\_$ .

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