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Mathematics · 2021

JEE Main · 27 August 2021, Shift 1 · Q66

A wire of length 20 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a regular hexagon. Then the…

A wire of length $\displaystyle 20$ m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a regular hexagon. Then the length of the side (in meters) of the hexagon, so that the combined area of the square and the hexagon is minimum, is :
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.