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Q.

The area bounded by x2=4ay and y=2a is 

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a

162a23

b

82a23

c

16a23

d

8a23

answer is D.

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Detailed Solution

The given curves are x2=4ay and y=2a 

The rough sketch of the graph of the required region is as below

 

Question Image

The required area is the area of the shaded region

We know that the area of the  region bounded by the curve x=fyy=a,y=b and Y-axis is abfydy

Hence, the area of the shaded region is 02a2aydy

02a2aydy=2ay323202a =2a232a32 =823a2

Therefore the area of the required region is   823a2

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