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A helicopter flying along the path y=7+x...

A helicopter flying along the path `y=7+x^(3//2)`, A soldier standing at point `((1)/(2),7)` wants to hit the helicopter when it is closest from him, then minimum distance is equal to (a) `(1)/(6)(sqrt2)/(3)` (b) `(1)/(2)` (c) `(1)/(3)sqrt((2)/(3))` (d) `sqrt((5)/(2))`

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