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If the distance between point (4, a) and line 4x-3y-1 = 0 is not greater than 3, then the value range of a is () A. [0，10]B. [13，313]C. （0，10）D. （-∞，0]∪[10，+∞）
The distance d from point (4, a) to line 4x-3y-1 = 0 = | 16 − 3a − 1 | 42 + (− 3) 2 = | 15 − 3a | 5 ∵ D is not greater than 3, | 15 − 3a | 5 ≤ 3, which is reduced to | 15-3a | ≤ 15, - 15 ≤ 15-3a ≤ 15, 0 ≤ a ≤ 10, so a is selected
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