Question

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

• A. $\frac{1}{2}$
• B. $\frac{1}{3}\sqrt{\frac{7}{3}}$
• C. $\frac{1}{6}\sqrt{\frac{7}{3}}$
• D. $\frac{\sqrt{5}}{6}$

Answer 1

The correct option is C $\frac{1}{6}\sqrt{\frac{7}{3}}$