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JCECE Engineering JCECE Engineering Solved Paper-2012

  • question_answer
    Let \[u\] and \[v\] be two odd functions, then the function \[uov\] is

    A)  an even function

    B)  an odd function

    C)  neither even nor odd

    D)  a periodic function

    Correct Answer: B

    Solution :

    We have,             \[uov(-x)\]                 \[=u[v(-x)]\]                 \[=u[-v(x)]\]                      [\[\because v\]is odd]                 \[=-u[v(x)]\]                      [\[\because \,\,u\]is odd]                 \[=-uov(x)\] Thus, \[uov\] is an odd function.


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