Problem

If P is a point on a circle with center C, then the tangent line to the circle at P is the...

If P is a point on a circle with center C, then the tangent line to the circle at P is the straight line through P that is perpendicular to the radius CP.

(a) Find the center C of the circle

 (x − 1)2 + (y − 1)2 = 5.


(b) Find the equation of the tangent line to this circle at the point P = (2, 3).

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