Find the real number m so that the straight line X-my + 3 = 0 and the circle x 2 + y 2 = 6x-5 satisfy the following conditions: (1) intersection; (2) tangency; (3) separation

Find the real number m so that the straight line X-my + 3 = 0 and the circle x 2 + y 2 = 6x-5 satisfy the following conditions: (1) intersection; (2) tangency; (3) separation

Find the value range of the real number m, so that the line x ^ 2-radical 3 + M = A and the circle x ^ 2 + y ^ 2-6x + 5 = 0 satisfy (1) intersection (2) tangency (3) separation respectively

First, the center coordinates (3,0) and radius 2. (x-3) ^ 2 + y ^ 2 = 4 of the circle are obtained
The problem is transformed into the condition that the distance from (3,0) to the straight line is less than 2, equal to 2 and greater than 2