The parabolas y² = 4x and x² = 4y divide the square region bounded by the lines x=4, y=4 and the coordinate axes. If S₁,S₂,S₃ are respectively the areas of these parts numbered from top to bottom; then S₁,S₂,S₃ is:

Integral Calculus: JEE Main 2005 Mathematics question

JEE Main 2005 · Annual, Paper 1 · Q2795

JEE Main 2005Annual, Paper 1MathematicsMediumIntegral Calculus369× since 2002

The parabolas

{y^2} = 4x

and

{x^2} = 4y

divide the square region bounded by the lines

x=4,

y=4

and the coordinate axes. If

{S_1},{S_2},{S_3}

are respectively the areas of these parts numbered from top to bottom ; then

{S_1},{S_2},{S_3}

is :