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Find the area of the region bounded by t...

Find the area of the region bounded by the curve `y^(2)=9x" and " y=3x`.

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The correct Answer is:
N/a
We, have `y^(2)9x" and " y=3x`
`rarr(3x)^(2)=9x`
`rArr"9x^(2)-9x=0`
`rArr9x(x-1)=0`
`rArrx=1, 0`

`:."Required area, " A =int_(0)^(1)sqrt(9xcx)-int_(0)^(1)3xdx`
`=3int_(0)^(1)x^(1//2)dx-3int_(0)^(1)xdx`
`=3[(x^(3//2))/(3//2)]_(0)^(1)-3[(x^(2))/2]_(0)^(1)`
`=3(2/3-0)-3(1/2-0)`
`=2-3/2=1/2" sq units"`
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Knowledge Check

  • Find the area of the region bounded by the curve y^(2)=4x" and " x^(2)=4y .

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