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The area bounded by the curves y=sqrt(x)...

The area bounded by the curves `y=sqrt(x),2y+3=x ,` and x-axis in the 1st quadrant is 18 sq. units (b) `(27)/4"s q"dot"u n i t s"` `4/3"s q"dot"u n i t s"` (d) 9 sq. units

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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