JEE Main 2016 Mathematics question

MathematicsApplication of DerivativesJEE Main 2016

A wire of length 2 units is cut into two parts which are bent respectively to form a square of side = x units and a circle of radius = r units. If the sum of the areas of the square and the circle so formed is minimum, then :

Answer: (C)

Solution

4x + 2πr = 2 and A = . With , gives x = 2r.

Question ID VK-008920