Circles · Secant through an external point

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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