If there is a common point between the line L passing through point a (3,0) and the curve (x-1) 2 + y2 = 1, then the value range of the slope of the line L is () A. (−3，3)B. [−3，3]C. (−33，33)D. [−33，33]

Let the equation of the straight line l be y = K (x-3), which is substituted into the equation of the circle, and the result is (K2 + 1) X2 - (6k2 + 2) x + 9k2 = 0 △ = 4 (1-3k2) ≥ 0. The solution is − 33 ≤ K ≤ 33, so D is selected

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