If x - at 2- y -2 at- then d 2 x - dy 2-A- 1-2 aB- -2 at 3D- -1-2 a t3-t2

The correct option is A 12adxdt=2at and dydt=2a ⇒dxdy=t ⇒ddy(dxdy)=dtdy ∴d^2xdy^2=12a ...

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Higher Order Derivatives

If x = at 2, ...

Question

If $x = a t^{2}, y = 2 a t,$ then $\frac{d^{2} x}{d y^{2}} =$

\frac{1}{2 a}

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- 2 a t^{3}

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\frac{- 1}{2 a t^{3}}

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\frac{- 1}{t^{2}}

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Solution

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