jee-main 2025 Q73

jee-main · India · session2_03apr_shift1 Stationary points and optimisation Geometric or applied optimisation problem

Q73. Let a rectangle $A B C D$ of sides 2 and 4 be inscribed in another rectangle $P Q R S$ such that the vertices of the rectangle $A B C D$ lie on the sides of the rectangle $P Q R S$. Let $a$ and $b$ be the sides of the rectangle $P Q R S$ when its area is maximum. Then $( a + b ) ^ { 2 }$ is equal to :
(1) 72
(2) 60
(3) 64
(4) 80

Q73. Let a rectangle $A B C D$ of sides 2 and 4 be inscribed in another rectangle $P Q R S$ such that the vertices of the rectangle $A B C D$ lie on the sides of the rectangle $P Q R S$. Let $a$ and $b$ be the sides of the rectangle $P Q R S$ when its area is maximum. Then $( a + b ) ^ { 2 }$ is equal to :\\
(1) 72\\
(2) 60\\
(3) 64\\
(4) 80

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