It is known that the equation of circle C is (x-1) 2 + (Y-1) 2 = 1, and the coordinates of point P are (2,3). The tangent equation and tangent length of the circle with point P are obtained

(1) If the slope of the tangent exists, let the equation of the tangent be Y-3 = K (X-2), that is, kx-y-2k + 3 = 0, then the distance from the center of the circle to the tangent d = | K − 1 − 2K + 3 | K2 + 1 = 1, and the solution is k = 34, so the equation of the tangent is 3x-4y + 6 = 0 (2)

It is known that the equation of circle C is (x-1) 2 + (Y-1) 2 = 1, and the coordinates of point P are (2,3). The tangent equation and tangent length of the circle with point P are obtained

It is known that the equation of circle C is (x-1) 2 + (Y-1) 2 = 1, and the coordinates of point P are (2,3). The tangent equation and tangent length of the circle with point P are obtained

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