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Question 79

Let $$P$$ be the plane passing through the points $$(5, 3, 0)$$, $$(13, 3, -2)$$ and $$(1, 6, 2)$$. For $$\alpha \in \mathbb{N}$$, if the distance of the points $$A(3, 4, \alpha)$$ and $$B(2, \alpha, a)$$ from the plane $$P$$ are 2 and 3 respectively, then the positive value of a is

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