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Find the area of the region bounded b...

Find the area of the region bounded by the curve `y=x^2` and the line `y" "=" "4` .

Text Solution

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Equation of the curve `y=x^{2} ldots ldots . .(1)`

Equation of the line `y=4 ldots ldots(2)`

Solving equation (1) and (2)

`x^{2}=4`

`Rightarrow x=pm 2`

Required Area

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Knowledge Check

  • The area of the region bounded by the curve y =2x-x^(2) and the line y = x is

    A
    `1//2`
    B
    `1//3`
    C
    `1//4`
    D
    `1//6`

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    A
    `32/3`
    B
    `(256)/(3)`
    C
    `(64)/(3)`
    D
    `(128)/(3)`

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