The area (in sq. unit) of the region described by A = x ,   y   :   x 2 + y 2 ≤ 1 &#160…

The area (in sq. unit) of the region described by A=x, y : x2+y21 and y21-x is
  1. π2-23
  2. π2+23
  3. π2+43
  4. π 2 - 4 3

Solution


Area of shaded region = area of semicircle + area of region BCA

=π2+2011-x·dx

=π2+2-231-x3/201

=π2-43-1

= π 2 + 4 3  sq. unit

Asked in: JEE Main 2014 (06 Apr)

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