Let P(a, b) and Q(c, d) be any two points on the parabola y = Ax...

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Let P(a, b) and Q(c, d) be any two points on the parabola y = Ax + Bx + C. (a) Prove that there is a point R(r, s) on the arc PQ such that the tangent at R is parallel to the chord PQ. a + c 2 (b) Show that r = - Let P(a, b) and Q(c, d) be any two points on the parabola y = Ax + Bx + C. (a) Prove that there is a point R(r, s) on the arc PQ such that the tangent at R is parallel to the chord PQ. a + c 2 (b) Show that r = -