The area (in sq. units) bounded between the parabolas x^2 = y 4 and x^2 = 9y and the line y = 2 is

MHT CET 2024 Mathematics question

The area (in sq. units) bounded between the parabolas and and the line is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

The parabolas are and , both opening upward from the origin; the line closes the region. In terms of , for the right boundary is (from ) and the inner boundary is (from ); the region is symmetric about the

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Question ID VK-099736