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If there is a common point between the line L passing through point a (4,0) and the curve (X-2) 2 + y2 = 1, the range of the slope of the line L is () A. [−3，3]B. (−3，3)C. [−33，33]D. (−33，33)
Let the linear equation be y = K (x-4), that is, kx-y-4k = 0, the line L has a common point with the curve (X-2) 2 + y2 = 1, and the distance from the center of the circle to the straight line is less than or equal to the radius d = | 2K − 4kk2 + 1 | ≤ 1, then 4k2 ≤ K2 + 1, K2 ≤ 13, so C
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