Chord and its intersectionMedium

Chord Length for Parabola and Circle

Let the point P be the vertex of the parabola $y = x^2 - 6x + 12.$ If a line passing through the point P intersects the circle $x^2 + y^2 - 2x - 4y + 3 = 0$ at the points R and S, then the maximum value of $(PR + PS)^2$ is:

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