Find the equation of tangent of the curve `x=at^(2), y = 2at` at point 't'.

Explanation

To find the equation of the tangent to the curve defined by the parametric equations \( x = at^2 \) and \( y = 2at \) at a point corresponding to the parameter \( t \), we can follow these steps:

### Step 1: Differentiate the parametric equations
We need to find the derivatives \( \frac{dx}{dt} \) and \( \frac{dy}{dt} \).

- For \( x = at^2 \):
\[
\frac{dx}{dt} = \frac{d}{dt}(at^2) = 2at
...