Find the area enclosed between the parabola y^{2} = 4ax and the line y = mx.

We can see from the figure that the area of the region bounded by the curve y^{2} = 4ax and the line y = mx is shown by shaded region that is Area OABO.

The points of intersection of both the curves are (0,0) and

Now draw AC perpendicular to x – axis.

Thus,

Area of OABO = Area OCABO – Area (ΔOCA)

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