Through the point P (4,4), make the tangent line of the circle X & # 178; + Y & # 178; - 6x-4y + 12 = 0, and find the general equation of the tangent line

Through the point P (4,4), make the tangent line of the circle X & # 178; + Y & # 178; - 6x-4y + 12 = 0, and find the general equation of the tangent line

X & # 178; + Y & # 178; - 6x-4y + 12 = 0 (x-3) & # 178; + (Y-2) & # 178; = 1, the center of the circle is (3,2) and the radius is 1. Let the tangent be y = K (x-4) + 4, the distance from the center of the circle to the tangent is the radius, that is, under | 2-k | / root sign (K & # 178; + 1) = 1 (2-k) & # 178; = K & # 178; + 1, the solution is k = 3 / 4