The circle `x^(2) + y^(2)=8` is divided into two parts by the parabola `2y=x^(2)` . Find the area of both the parts.

The circle x^(2)+y^(2) =4a^(2) is divided into two parts by the line x =(3a)/(2). Find the ratio of areas of these two parts.

The area enclosed by the circle x^2+(y+2)^2=16 is divided into two parts by the x-axis. Find by integration, the area of the smaller part.

The area between x=y^2 and x = 4 is divided into two equal parts by the line x = a , find the value of a.

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

Find the area bounded by the parabola x^(2) = y and line y = 1 .

Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

Figure shows the curve y=x^2 . Find the area of the shaded part between x=0 and x=6 .

Area bounded by the parabola y^2=x and the line 2y=x is:

Find the area bounded by the parabola y = 2-x^2 and the straight line y+x= 0 .

Find the area enclosed by the parabolas y=5x^2a n d\ y=2x^2+9.