Q. 13.5( 91 Votes )

# Find the area of the circle 4x^{2} + 4y^{2} = 9 which is interior to the parabola x^{2} = 4y.

Answer :

It is given that of circle, 4x^{2} + 4y^{2} = 9 and parabola x^{2} = 4y.

On solving the above two equations, we get the point of intersection

We can see that the required area is symmetrical about y axis.

Thus, Area OBCDO = 2 × Area OBCO

Let us draw BM perpendicular to OA.

⇒ The coordinates of M are (, 0).

Then, Area OBCO = Area OABCO – Area OABO

Therefore, the required area OBCDO is

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