If $x=t^2$ and $y=2 t$ are parametric equations of a curve, then equation of the normal to the curve at $t=2$ is

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Aicharya · Accepted Answer

Equation of normal at $t$ $\begin{aligned} & (y-2 t)=\frac{-\mathrm{d} x}{\mathrm{~d} t}\left(x-t^2ight) \ & \Rightarrow(y-2 t)=\frac{-2 t}{2}\left(x-t^2ight) \ & \Rightarrow(y-4)=-2(x-4)[	ext { for } t=2] \ & \Rightarrow 2 x+y-12=0 \end{aligned}$

If $x=t^2$ and $y=2 t$ are parametric equations of a curve, then equation of the normal to the curve at…

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