Find the locus of the midpoint of normal chord of parabola `y^2=4a xdot`

Explanation

To find the locus of the midpoint of the normal chord of the parabola \( y^2 = 4ax \), we will follow these steps:

### Step 1: Define the points on the parabola
Let \( P(t) \) be a point on the parabola, which can be represented as:
\[ P(t) = (at^2, 2at) \]
where \( t \) is a parameter.
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