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If x=at^2 and y=2at then find the value ...

If `x=at^2` and `y=2at` then find the value of `((dy)/(dx))^2`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(t)`
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Knowledge Check

  • If 2x^2dy + (e^y-2x)dx=0 and y(e)=1 then find the value of y(1)

    A
    `ln2`
    B
    2
    C
    0
    D
    ln3

  • If x^(y). y^(x)=16 , then the value of (dy)/(dx) at (2, 2) is

    A
    `-1`
    B
    0
    C
    1
    D
    None of these

  • If y=f(x), p=dy/dx and q=(d^2y)/(dx^2) , then what is the value of (d^2x)/(dy^2) ?

    A
    `-q/p^2`
    B
    `-q/p^3`
    C
    `1/q`
    D
    `q/p^2`

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    if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1

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