Limit, Continuity and Differentiability: JEE Main 2016 Mathematics question

JEE Main 2016 · Session, Shift 1 · Q2633

JEE Main 2016Session, Shift 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002

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: