The normal at a point on the parabola $y^2=4x$ passes through a point P. Two more normals to this parabola also pass through P. If the centroid of the triangle formed by the feet of these three normals is G(2,0), then the abscissa of P is
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For the three normals drawn from a point $(h,k)$ to the parabola $y^2=4ax$, the sum of the slopes of the normals is zero, and the sum of the ordinates of their feet is zero. The x-coordinate of the centroid of the feet is related to $h$ by $x_G = \frac{2(h-2a)}{3}$.