A helicopter is flying along the curve given by y – x3/2 = 7, (x $ \ge $ 0). A soldier positioned at the point $\left( {{1 \over 2},7} \right)$ wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is -

Question

A helicopter is flying along the curve given by y – x^3/2 = 7, (x $ \ge $ 0). A soldier positioned at the point $\left( {{1 \over 2},7} \right)$ wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is -

${1 \over 6}\sqrt {{7 \over 3}} $

${{\sqrt 5 } \over 6}$

${1 \over 2}$

${1 \over 3}$$\sqrt {{7 \over 3}} $

Solution

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