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 [AIEEE 2005]

The parabolas \[{{y}^{2}}=4x\] and \[{{x}^{2}}=4y\] divide the square

1.	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 [AIEEE 2005]
A.	\[2:1:2\]
B.	\[1:1:1\]
C.	\[1:2:1\]
D.	\[1:2:3\]
Answer» C. \[1:2:1\]

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