A straight line y = x +1 intersect an ellipse ax? + 2y² – by – 18 = 0 at (2,3) and (-2, –1). (a) Find the value of a and b. (b) Hence, find the general equation of a parabola with a vertex at the point (a, b) passing through the point (2,3). The axis of the parabola is parallel to the y - axis.

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