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Mathematics · 2023

JEE Main · 31 January 2023, Shift 1 · Q68

A wire of length 20 m is to be cut into two pieces. A piece of length l_1 is bent to make a square of area A_1 and the other piece of length l_2 is…

A wire of length $\displaystyle 20$ m is to be cut into two pieces. A piece of length $\displaystyle l_1$ is bent to make a square of area $\displaystyle A_1$ and the other piece of length $\displaystyle l_2$ is made into a circle of area $\displaystyle A_2$. If $\displaystyle 2 A_1+3 A_2$ is minimum then $\displaystyle \left(\pi l_1\right): l_2$ is equal to :
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.