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Application of Derivatives question

2021 · 27 Aug · Shift 1 · Q33
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  5. /2021 · 27 Aug · Shift 1 · Q33

Application of Derivatives question

2021 · 27 Aug · Shift 1 · Q33

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
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 length of the side (in meters) of the hexagon, so that the combined area of the square and the hexagon is minimum, is :
  1. A
    52+3{5 \over {2 + \sqrt 3 }}2+3​5​
  2. B
    102+33{{10} \over {2 + 3\sqrt 3 }}2+33​10​
  3. C
    53+3{5 \over {3 + \sqrt 3 }}3+3​5​
  4. D
    103+23{{10} \over {3 + 2\sqrt 3 }}3+23​10​
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