Mathematics

Problem

If the area (in sq. units) bounded by the parabola

y^2 = 4\lambda x

and the line

y = \lambda x

\lambda > 0

, is

\frac{1}{9}

, then

\lambda

is equal to : (1) 24 (2) 48 (3)

4\sqrt{3}

(4)

2\sqrt{6}