The area of the region enclosed by y ≤ 4 x 2 , x 2 ≤ 9 y and y ≤ 4 , is equal to

The area of the region enclosed by y4x2,x29y and y4, is equal to
  1. 403
  2. 563
  3. 1123
  4. 803

Solution

Plotting the required region

Enclosed area =2043y-y2dy

=2045y2dy

=523y3204

=103(4)32=803

Asked in: JEE Main 2022 (27 Jul Shift 2)

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