Find the equation of line which is normal to the parabola `x^(2)=4y` and touches the parabola `y^(2)=12x`.

Explanation

To find the equation of the line that is normal to the parabola \(x^2 = 4y\) and touches the parabola \(y^2 = 12x\), we can follow these steps:

### Step 1: Determine the equation of the normal line to the parabola \(x^2 = 4y\)

The standard form of the normal line to the parabola \(x^2 = 4y\) at a point \((x_0, y_0)\) is given by:

\[
y = mx + \left(2 + \frac{1}{m^2}\right)
...