Try to discuss the relationship between the straight line X-my + 2 = 0 and the circle x ^ 2 + y ^ 2 = 4 according to the value of M

Try to discuss the relationship between the straight line X-my + 2 = 0 and the circle x ^ 2 + y ^ 2 = 4 according to the value of M

X & sup2; + Y & sup2; = 4, the center of the circle is the origin (0,0), and the radius is 2
The straight line X-my + 2 = 0 must pass through the point (0,2), just on the circle,
If:
① M = 0, then x = - 2, tangent of line and circle and point (0,2)
② M ≠ 0, then there must be more than one intersection point between the line and the circle, which is actually two intersections