If a tangent to the parabola y^2 = 4ax m...

If a tangent to the parabola `y^2 = 4ax` meets the axis of the parabola in `T` and the tangent at the vertex `A` in `Y,` and the rectangle `TAYG` is completed, show that the locus of `G` is `y^2 + ax = 0.`

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