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If x sqrt(y+1)+y sqrt(x+1)=0 & x!=y, the...

If `x sqrt(y+1)+y sqrt(x+1)=0 & x!=y, then (dy)/(dx)=`

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Knowledge Check

  • If x+sqrt( xy)+ y=1 ,then (dy)/(dx)=

    A
    ` (2sqrt( xy)+x)/( 2sqrt(xy) +y)`
    B
    ` (2sqrt( xy)+y)/( 2sqrt(xy) +x)`
    C
    ` -((2sqrt( xy)+x)/( 2sqrt(xy) +y))`
    D
    ` -((2sqrt( xy)+y)/( 2sqrt(xy) +x))`

  • If y= sqrt (x+(1)/( x) ),then (dy)/(dx) =

    A
    `(x^(2) -1)/( 2x^(2) sqrt( x^(2)+1))`
    B
    ` (1-x^(2))/( 2x^(2) sqrt( x^(2)+ 1 )) `
    C
    ` (x^(2)-1) /( 2x sqrt ( x) sqrt ( x^(2) +_ 1 ) ) `
    D
    ` (1-x^(2))/(2x sqrt( x ) sqrt( x^(2)+1))`

  • If x=sqrt(1-y^2) , then (dy)/(dx)=

    A
    0
    B
    x
    C
    `(sqrt(1-y^2))/(1-2y^2)`
    D
    `(sqrt(1-y^2))/(1+2y^2)`

    • Similar Questions

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    If x sqrt(1+y)+y sqrt(1+x)=0, prove that (dy)/(dx)=-(1)/((x+1)^(2))

    If sqrt(x) + sqrt(y) = sqrt(a) , then (dy)/(dx) = 1/(2sqrt(x)) + 1/(2sqrt(y)) = 1/(2sqrt(a))

    x sqrt(x)+y sqrt(y)=a sqrt(a) then find (dy)/(dx)

    If y= (sqrt( x) +(1)/(sqrt(x)) ) ^(5) , then (dy)/(dx) =

    If y= sqrt(x-1) +sqrt( x+1) ,then (dy)/(dx)

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