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Question

Find the area of the region bounded by the two parabolas x2=4y and y2=4x. (Draw the figure in answer-book)

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Solution

Intersecting points of the two given curves: y=4x and x2=4y is (0,0) and (4,4)
Therefore, the area of the region bounded by these curves:
A=404xx24
A=[43x3/2]40[x312]40
A=3236412
A=6412=163 sq. units

629837_602687_ans.png

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