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Find the smaller area enclosed by the ci...

Find the smaller area enclosed by the circle `x ^(2) + y ^(2) =4 ` and the line `x + y =2.`

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Knowledge Check

  • The area of smaller part between the circle x^(2)+y^(2)=4 and the line x=1 is

    A
    `(4pi)/3-sqrt(3)`
    B
    `(8pi)/3-sqrt(3)`
    C
    `(4pi)/3+sqrt(3)`
    D
    `(5pi)/3+sqrt(3)`

  • The area of the smaller region bounded by the circle x^(2) + y^(2) =1 and the lines |y| = x +1 is

    A
    `(pi-2)//4`
    B
    `(pi-2)//2`
    C
    `(pi+2)//2`
    D
    None of these

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