jee-main 2019 Q84

jee-main · India · session1_10jan_shift1 Stationary points and optimisation Find absolute extrema on a closed interval or domain

Let $I = \int _ { a } ^ { b } \left( x ^ { 4 } - 2 x ^ { 2 } \right) d x$. If $I$ is minimum then the ordered pair $( a , b )$ is
(1) $( 0 , \sqrt { 2 } )$
(2) $( \sqrt { 2 } , - \sqrt { 2 } )$
(3) $( - \sqrt { 2 } , 0 )$
(4) $( - \sqrt { 2 } , \sqrt { 2 } )$

Let $I = \int _ { a } ^ { b } \left( x ^ { 4 } - 2 x ^ { 2 } \right) d x$. If $I$ is minimum then the ordered pair $( a , b )$ is\\
(1) $( 0 , \sqrt { 2 } )$\\
(2) $( \sqrt { 2 } , - \sqrt { 2 } )$\\
(3) $( - \sqrt { 2 } , 0 )$\\
(4) $( - \sqrt { 2 } , \sqrt { 2 } )$

Paper Questions

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