jee-main 2020 Q63

jee-main · India · session2_04sep_shift2 Stationary points and optimisation Find absolute extrema on a closed interval or domain

The minimum value of $2 ^ { \sin x } + 2 ^ { \cos x }$ is:
(1) $2 ^ { - 1 + \frac { 1 } { \sqrt { 2 } } }$
(2) $2 ^ { - 1 + \sqrt { 2 } }$
(3) $2 ^ { 1 - \sqrt { 2 } }$
(4) $2 ^ { 1 - \frac { 1 } { \sqrt { 2 } } }$

The minimum value of $2 ^ { \sin x } + 2 ^ { \cos x }$ is:\\
(1) $2 ^ { - 1 + \frac { 1 } { \sqrt { 2 } } }$\\
(2) $2 ^ { - 1 + \sqrt { 2 } }$\\
(3) $2 ^ { 1 - \sqrt { 2 } }$\\
(4) $2 ^ { 1 - \frac { 1 } { \sqrt { 2 } } }$

Paper Questions

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