Point P(3t2, 6t), where t > 0, lies on the parabola y² = 12x. (a) Show that the equation of the normal to the parabola at point P is given by (b) (c) y + tx = 6t+3t³ This normal crosses the x - axis at point Q and M is the mid-point of QP. Find the coordinates of point M. Find the Cartesian equation of the locus of point M. Give your answer in the form y = f(x).

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