A wire of length 25m is to be cut into two pieces one of the wires is to be made into…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

A wire of length 25m is to be cut into two pieces one of the wires is to be made into square and other into a circle. What should be the length of two pieces so that the combined area of the square and the circle is minimum?
  1. \(\frac{2 \pi}{\pi+4} \cdot \frac{4 \pi}{\pi+4}\)
  2. \(\frac{25 \pi}{\pi+4} \cdot \frac{100}{\pi+4}\)
  3. \(\frac{6 \pi}{\pi+4}, \frac{8 \pi}{\pi+4}\)
  4. none of these

Answer

(B) 25 +4 100 +4

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