If normals drawn at three different point on the parabola `y^(2)=4ax` pass through the point (h,k), then show that h `hgt2a`.

Explanation

To solve the problem, we need to show that if normals drawn at three different points on the parabola \( y^2 = 4ax \) pass through the point \( (h, k) \), then \( h > 2a \).

### Step 1: Write the equation of the normal to the parabola
The equation of the normal to the parabola \( y^2 = 4ax \) at a point \( (at^2, 2at) \) in parametric form is given by:
\[ y + tx = 2at + at^3 \]

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