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If x = "at"^2 , y = 2at , then (d^2y)/(d...

If `x = "at"^2 , y = 2at `, then `(d^2y)/(dx^2)` is equal to

A

`-1/(t^2)`

B

`-1/(2at^3)`

C

`1/t^2`

D

`-a/(2t^3)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If x=at^(2),y=2at , then (d^(2)y)/(dx^(2)) is equal to

    A
    `-(1)/(t^(2))`
    B
    `-(1)/(2at^(3))`
    C
    `(1)/(t^(2))`
    D
    `-(a)/(2t^(3))`

  • If x=at^2 , y=at ,then (d^2y)/(dx^2)=

    A
    `-(1)/(t^2)`
    B
    `(1)/(2at^3)`
    C
    `-(1)/(t^3)`
    D
    `-(1)/(2at^3)`

  • If x = t^(2) and y = t^(3) , then (d^(2)y)/(dx^(2)) is equal to

    A
    `3/2`
    B
    `3/(4t)`
    C
    `3/(2t)`
    D
    `(3)/(2t)`

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