jee-main 2016 Q84

jee-main · India · 09apr Stationary points and optimisation Geometric or applied optimisation problem

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:
(1) $2x = (\pi + 4)r$
(2) $(4 - \pi)x = \pi r$
(3) $x = 2r$
(4) $2x = r$

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:\\
(1) $2x = (\pi + 4)r$\\
(2) $(4 - \pi)x = \pi r$\\
(3) $x = 2r$\\
(4) $2x = r$

Paper Questions

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