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Question

Product of two odd functions is


A

Even function

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B

Odd function

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C

Neither even nor odd

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D

Cannot be determined

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Solution

The correct option is A

Even function


Let f(x), g(x) be odd
Let F(x) = f(x)g(x)
F(–x) = f(–x)g(–x) = F(x)
therefore F(x) is even


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