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Q.

A is the domain of f(x)=|x|−x and B is the domain of g(x)=11−|x| , then A∩B

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a

(0, 1)

b

(−1, 1)

c

[−1, 0]

d

(−1, 0)

answer is B.

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Detailed Solution

|x|−x≥0⇒x∈(−∞,∞)−A                 1−|x|>0⇒x∈(−1,1)−B                 A∩B=(−1,1)
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