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If sqrt(x) + sqrt(y) = sqrt(5), Prove th...

If `sqrt(x) + sqrt(y) = sqrt(5)`, Prove that `(dy)/(dx) = (-3)/(2)` when `x= 4" and "y=9`.

Text Solution

Verified by Experts

The correct Answer is:
`=(-3)/(2)`
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Knowledge Check

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

    A
    `-(ysqrty)/(xsqrtx)`
    B
    `(ysqrty)/(xsqrtx)`
    C
    `-(xsqrtx)/(ysqrty)`
    D
    `-(ysqrtx)/(xsqrty)`

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

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

  • If y=log(sqrt(x)+sqrt(x-a)) , then (dy)/(dx) is :

    A
    `(1)/(sqrt(x)+sqrt(x-a))`
    B
    `(1)/(2sqrt(x)sqrt(x-a))`
    C
    `(1)/(sqrt(x)sqrt(x-a))`
    D
    None of these

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