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" The area bounded by the curve "sqrt(x)+sqrt(y)=sqrt(a)(a>0)" and the co-ordinate axes is "

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Find area bounded by the curve sqrt(x)+sqrt(y)=sqrt(a)& coordinate axes.

" The area of the region formed by the curve ",sqrt(x)+sqrt(y)=4" between co-ordinate axes "

Knowledge Check

  • What is the area bounded by the curve sqrt(x)+sqrt(y)=sqrt(a)(x,yge0) and the coordinate axes?

    A
    `(5a^(2))/6`
    B
    `(a^(2))/3`
    C
    `(a^(2))/2`
    D
    `(a^(2))/6`

  • The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,yle0

    A
    cannot be determined
    B
    is `1/3`
    C
    is `2/3`
    D
    is same as that of the figure bounded by the curves `y=sqrt(-x),xle0 and x=sqrt(-y),yle0`

  • The area bounded by the curves y=sqrt(5-x^2) and y=|x-1| is

    A
    `((5pi)/4-2)` sq units
    B
    `((5pi-2)/4)` sq units
    C
    `((5pi-2)/2)` sq units
    D
    `(pi/2 -5)` sq units

    • Similar Questions

    Explore conceptually related problems

    If the tangent drawn at any point P(a cos^(4)theta, a sin^(4)theta) on the curve sqrt(x)+sqrt(y)=sqrt(a) meets the co-ordinate axes in A and B respectively then Q: The value of (OA-OB)/(OA+OB) is (where O is origin)

    If the tangent drawn at any point P(a cos^(4)theta,a sin^(4)theta) on the curve sqrt(x)+sqrt(y)=sqrt(a) meets the co-ordinate axes in A , B respectively then. The value of PA when theta=(pi)/(4) is (where PA is the length of tangent P)

    If the tangent drawn at any point P(a cos^(4)theta,a sin^(4)theta) on the curve sqrt(x)+sqrt(y)=sqrt(a) meets the co-ordinate axes in A,B respectively then. The value of (OA-OB)/(OA+OB) is (where O is origin)

    The area bounded by the curve y=f(x) (where f(x)>=0) ,the co-ordinate axes & the line x=x_(1) is given by x_(1).e^(x_(1)). Therefore f(x) equals

    The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,y<=0

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