Let f(x) = |x + 1|. The number of values of x [-2, 2] for which f(x-3), f(x-1), f(x+1) are in AP is

JEE Advanced Mathematics question

Let . The number of values of for which are in AP is

Answer: (B)

, , . They are in AP iff

2|x| = |x-2| + |x+2|.

For : , so we need , i.e.

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Question ID VK-110027