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The area (in square units) bounded by th...

The area (in square units) bounded by the curves `y=sqrt(x),2y-x+3=0,` x-axis, and lying in the first quadrant is

A

9

B

36

C

18

D

`(27)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
`y=sqrt(x) and 2y-x+3=0`

`therefore" "` Required area = Area of region OABCO-Area of `DeltaABC`
`=overset(9)underset(0)intsqrt(x)dx-(1)/(2)xxBCxxAB`
`=((x^(3//2))/(3//2))_(0)^(9)-(1)/(2)xx3xx6`
`=9` sq. units
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