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Question

The area of the region inside the parabola 5x2y=0 but outside the parabola 2x2y+9=0 is
  1. 123 sq. units
  2. 63 sq. units
  3. 83 sq. units
  4. 43 sq. units


Solution

The correct option is A 123 sq. units
Given 5x2y=0
2x2y+9=0
Eliminating y, we get 5x2(2x2+9)=0
3x2=9
x=3,3


Required area
=230((2x2+9)5x2)dx
=230(93x2)dx
=2[9xx3]30
=2[9333]
=123 sq. units

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