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

Question:

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. $2 \sqrt{6}$


Correct Option: 1

Solution:

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