jee-main 2021 Q74

jee-main · India · session1_25feb_shift2 Applied differentiation Applied modeling with differentiation
The shortest distance between the line $x - y = 1$ and the curve $x ^ { 2 } = 2 y$ is:
(1) $\frac { 1 } { 2 }$
(2) $\frac { 1 } { \sqrt { 2 } }$
(3) $\frac { 1 } { 2 \sqrt { 2 } }$
(4) 0
The shortest distance between the line $x - y = 1$ and the curve $x ^ { 2 } = 2 y$ is:\\
(1) $\frac { 1 } { 2 }$\\
(2) $\frac { 1 } { \sqrt { 2 } }$\\
(3) $\frac { 1 } { 2 \sqrt { 2 } }$\\
(4) 0