The area (in sq. units) of the region A = ( x , y ) : | x | + | y | ≤ 1 , 2 y 2 ≥ | x |

The area (in sq. units) of the region A=(x,y):|x|+|y|≤1,2y2≥|x|
 
  1. 13
  2. 76
  3. 16
  4. 56

Solution

  

Required area is, A=arOAC+arΔABC

⇒A=4∫01/22y2dy+12·12·12

⇒A=423y301/2+18=56

Asked in: JEE Main 2020 (06 Sep Shift 1)

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