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Tangents PT and QT to the parabola y^2 =...

Tangents `PT and QT` to the parabola `y^2 = 4x` intersect at `T` and the normal drawn at the point `P and Q` intersect at the point `R(9, 6)` on the parabola. Find the coordinates of the point `T`. Show that the equation to the circle circumscribing the quadrilateral `PTQR`, is `(x-2) (x-9) + (y+3) (y-6) = 0`.

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