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Four points A, B, C, D lie in that order...

Four points `A, B, C, D` lie in that order on the parabola `y = ax^2 +bx+c.` The co-ordinates of `A, B and D` are known as `A(-2, 3); B(-1, 1) and D(2,7).` The co-ordinates of C for which the area of the quadrilateral `ABCD` is greatest is

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