If the area (in sq. units) bounded by the parabola y² = 4 λ x and the line y = λ x, λ > 0, is 1/9, then λ is equal to:

Integral Calculus: JEE Main 2019 Mathematics question

JEE Main 2019 · 12 Apr, Evening shift · Q2812

JEE Main 201912 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

If the area (in sq. units) bounded by the parabola y² = 4

\lambda

x and the line y =

\lambda

\lambda

> 0, is

{1 \over 9}

, then

\lambda

is equal to :