# Find the area enc

To find the area enclosed by

y = 5x2 ...(i)

and y = 2x2 + 9 ...(ii)

On solving the equation (i) and (ii),

5x2 = 2x2 + 9

Or 3x2 = 9

Or x =

Or 15

Equation (i) represents a parabola with vertex O (0, 0) and axis as y - axis .

Equation (ii) represents a parabola with vertex C (0, 9) and axis as the y - axis.

Points of intersection of parabolas are A (√3, 15) and B( – √3,15)

These are shown in the graph below: -

Required area = Region AOBCA

= 2(Region AOCA)

The area enclosed by the parabolas y = 5x2 and y = 2x2 + 9 is

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