Try to discuss the position relation between the straight line X-my + 2 = 0 and the circle X & sup2; + Y & sup2; = 1 according to the value of M A differential geometry problem, there must be a problem-solving process

Try to discuss the position relation between the straight line X-my + 2 = 0 and the circle X & sup2; + Y & sup2; = 1 according to the value of M A differential geometry problem, there must be a problem-solving process

Circle x ^ 2 + y ^ 2 = 1, center is (0,0), radius is 1
Distance from center of circle to straight line
D = | 0-m * 0 + 2 | / radical (1 ^ 2 + (- M) ^ 2) = 2 / radical (m ^ 2 + 1)
D will not be zero and the line does not pass through the center of the circle
When the root sign of D (1 + m ^ 2) is reduced to m ^ 2