The parabolas … and … divide the square region bounded by the lines … … and the coordinate axes. If … are respectively the areas of these parts numbered from top to bottom ; then … is :

Option D. Intersection points of … and … are … and … The graph is as shown in the figure.

Area Under the Curves

JEE Main 2005 · Annual, Paper 1 · Q2795

MathematicsMedium94×since 2002Q2795

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 :