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Question

Find the area of the region bounded by x2=16y,y=1,y=4 and the y-axis in the first quadrant.

A
83
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B
563
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C
643
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D
483
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Solution

The correct option is B 563
Area(A) of region can be written as
A=41xdy
=4116y dy
(not taking negative value because area is asked in first quadrant)
=441ydy
=4×23(y32)41
=83(81)
=563 units

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