Given that circle C1: x2 + y2-2mx + M2 = 4, circle C2: x2 + Y2 + 2x-2my = 8-m2 (M > 3), the positional relationship between the two circles is () A. Intersection B. inscribed C. circumscribed D. separation
In this paper, the equations of two circles are transformed into standard expressions respectively, and the results are as follows: circle C1: (x-m) 2 + y2 = 4; circle C2: (x + 1) 2 + (y-m) 2 = 9, then the center of circle C1 (m, 0), C2 (- 1, m), radius R1 = 2, R2 = 3, the center distance of two circles C1C2 = (M + 1) 2 + M2 = 2M2 + 2m + 1 > 2 × 32 + 2 × 3 + 1 = 5 = 2 + 3, then the center distance is greater than the radius
Given that circle C1: x2 + y2-2mx + M2 = 4, circle C2: x2 + Y2 + 2x-2my = 8-m2 (M > 3), the positional relationship between the two circles is ()
A. Intersection B. inscribed C. circumscribed D. separation
In this paper, the equations of two circles are transformed into standard expressions respectively, and the results are as follows: circle C1: (x-m) 2 + y2 = 4; circle C2: (x + 1) 2 + (y-m) 2 = 9, then the center of circle C1 (m, 0), C2 (- 1, m), radius R1 = 2, R2 = 3, the center distance of two circles C1C2 = (M + 1) 2 + M2 = 2M2 + 2m + 1 > 2 × 32 + 2 × 3 + 1 = 5 = 2 + 3, then the center distance is greater than the radius