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Question

Find the area enclosed between the parabola y2 = 4ax and the line y = mx

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Solution

The area enclosed between the parabola, y2 = 4ax, and the line, y = mx, is represented by the shaded area OABO as

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

We draw AC perpendicular to x-axis.

∴ Area OABO = Area OCABO – Area (ΔOCA)


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