A helicopter is flying along the curve given by y - x3⁄2 = 7, (x ≥ 0). A solider positioned at the point \(\left( {\frac{1}{2},7} \right)\) wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is:

\(\frac{1}{3}\sqrt {\frac{7}{3}} \)

\(\frac{1}{6}\sqrt {\frac{7}{3}} \)

A helicopter is flying along the curve given by y - x3⁄2 = 7, (x ≥

1.	A helicopter is flying along the curve given by y - x3⁄2 = 7, (x ≥ 0). A solider positioned at the point \(\left( {\frac{1}{2},7} \right)\) wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is:
A.	\(\frac{{\sqrt 5 }}{6}\)
B.	\(\frac{1}{3}\sqrt {\frac{7}{3}} \)
C.	\(\frac{1}{6}\sqrt {\frac{7}{3}} \)
D.	\(\frac{1}{2}\)
Answer» D. \(\frac{1}{2}\)

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A helicopter is flying along the curve given by y - x3⁄2 = 7, (x ≥ 0). A solider positioned at the point \(\left( {\frac{1}{2},7} \right)\) wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is:

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