If the line y = KX + 1 (K ∈ R) and the ellipse X25 + y2m = 1 always have a common point, then the value range of M is () A. [1,5)∪(5,+∞)B. (0,5)C. [1,+∞)D. (1,5)

If the line y = KX + 1 (K ∈ R) and the ellipse X25 + y2m = 1 always have a common point, then the value range of M is () A. [1,5)∪(5,+∞)B. (0,5)C. [1,+∞)D. (1,5)

When y = KX + 1x25 + y2m = 1 and Y is eliminated, we get that (M + 5k2) x2 + 10kx + 5-5m = 0, (m > 0, m ≠ 5) ∵ the line y = KX + 1 (K ∈ R) and the ellipse X25 + y2m = 1 have the same common point, namely 100k2-20 (1-m) (M + 5k2) ≥ 0, M2 + 5mk2-m ≥ 0, ∵ m > 0, ∵ m ≥ - 5k2 + 1, ∵