Question

Find the area of the region bounded by the curves y² = 9x, y = 3x.

Answer 1

Given curves are y² = 9x and y = 3x

Now, solving the two equations we have

(3x)² = 9x

9x² = 9x

9x² – 9x = 0 ⇒ 9x(x – 1) = 0

Thus, x = 0, 1

So, the area of the shaded region is given by

= ar(region OAB) – ar (Δ OAB)

Therefore, the required area is ½ sq.units.