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Using integration, find the area of the ...

Using integration, find the area of the region common to the circle `x^2+y^2=16` and the parabola `y^2=6x`.

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Knowledge Check

  • Area common to the circle x^(2)+y^(2)=64 and the parabola y^(2)=6ax is

    A
    `16/3(4pi+sqrt3)`
    B
    `16/3(8pi-sqrt3)`
    C
    `16/3(4pi-sqrt3)`
    D
    None

  • The number of points with integral coordinates that lie in the interior of the region common to the circle x^(2)+y^(2)=16 and the parabola y^(2)=4x , is

    A
    8
    B
    10
    C
    16
    D
    none of these

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