Question: The circle (x - 5) 2 + (y - 3) 2 = 25 intersects the x-axis at points A and B. Find the equations of

The circle (x - 5)² + (y - 3)² = 25 intersects the x-axis at points A and B. Find the equations of all parabolas, with vertical axis of symmetry, whose only points in common with the circle are points A and B.

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