jee-main 2019 Q82

jee-main · India · session1_10jan_shift1 Stationary points and optimisation Geometric or applied optimisation problem
The shortest distance between the point $\left( \frac { 3 } { 2 } , 0 \right)$ and the curve $y = \sqrt { x } , ( x > 0 )$, is
(1) $\frac { \sqrt { 3 } } { 2 }$
(2) $\frac { 5 } { 4 }$
(3) $\frac { 3 } { 2 }$
(4) $\frac { \sqrt { 5 } } { 2 }$
The shortest distance between the point $\left( \frac { 3 } { 2 } , 0 \right)$ and the curve $y = \sqrt { x } , ( x > 0 )$, is\\
(1) $\frac { \sqrt { 3 } } { 2 }$\\
(2) $\frac { 5 } { 4 }$\\
(3) $\frac { 3 } { 2 }$\\
(4) $\frac { \sqrt { 5 } } { 2 }$