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Question


Product of two odd functions is


Options:
A .   Even function
B .   Odd function
C .   Neither even nor odd
D .   Cannot be determined
Answer: Option A
:
A

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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