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`

A

`(1)/(t)`

B

`(-1)/(t^(2))`

C

`(-2)/(t)`

D

none of these

Verified by Experts

The correct Answer is:

A

`(dx)/(dt) = 2 at, (dy)/(dt) = 2a. " So,"(dy)/(dx) = ((.^(dy)//_(dt)))/((.^(dx)//_(dt))) = (1)/(t)`

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