question_answer

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 _____.

A)  1: 1: 1

B)  1: 2: 1

C)  2: 1: 2             

D)  1: 2: 3

E)  None of these