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Tangents drawn from the point P(2,3) to...

Tangents drawn from the point `P(2,3)` to the circle `x^2 + y^2-8x + 6y + 1 = 0` points A and B. The circumcircle of the `DeltaPAB` cuts the director circle of ellipse `(x-5)^2/9+(y-3)^2/b^2=1` orthogonally. Find the value of `b^2`.

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