Mathematics

Mathematics

Problem

The parabolas y2=4xy^2 = 4x and x2=4yx^2 = 4y divide the square region bounded by the lines x=4x = 4, y=4y = 4 and the coordinate axes. If S1S_1, S2S_2, S3S_3 are respectively the areas of these parts numbered from top to bottom, then S1:S2:S3S_1 : S_2 : S_3 is (A) 1 : 2 : 1 (B) 1 : 2 : 3 (C) 2 : 1 : 2 (D) 1 : 1 : 1

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