jee-main 2020 Q66

jee-main · India · session2_04sep_shift2 Stationary points and optimisation Geometric or applied optimisation problem

The area (in sq. units) of the largest rectangle $ABCD$ whose vertices $A$ and $B$ lie on the $x$-axis and vertices $C$ and $D$ lie on the parabola, $y = x ^ { 2 } - 1$ below the $x$-axis, is:
(1) $\frac { 2 } { 3 \sqrt { 3 } }$
(2) $\frac { 1 } { 3 \sqrt { 3 } }$
(3) $\frac { 4 } { 3 }$
(4) $\frac { 4 } { 3 \sqrt { 3 } }$

The area (in sq. units) of the largest rectangle $ABCD$ whose vertices $A$ and $B$ lie on the $x$-axis and vertices $C$ and $D$ lie on the parabola, $y = x ^ { 2 } - 1$ below the $x$-axis, is:\\
(1) $\frac { 2 } { 3 \sqrt { 3 } }$\\
(2) $\frac { 1 } { 3 \sqrt { 3 } }$\\
(3) $\frac { 4 } { 3 }$\\
(4) $\frac { 4 } { 3 \sqrt { 3 } }$

Paper Questions

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