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

Limit, Continuity and Differentiability: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Jan, Evening shift · Q2639

JEE Main 201910 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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 -

JEE Main 2019 · 10 Jan, Evening shift · Q2639

JEE Main 201910 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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 -