Point A is located on the graph of the relation y^2 = 8x: a: Find the minimum distance between point A and point B(4, 2). b: Using the coordinates of point A you found in part a), calculate the slope of the line passing through A and B. c: Using the answer you obtained in part b), show that the line passing through A and B is perpendicular to the tangent line to the curve at B.

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