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JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Maxima and Minima

  • question_answer
    36 factorize into two factors in such a way that sum of factors is minimum, then the factors are                  [MP PET 1987]

    A)            2, 18

    B)            9, 4

    C)            3, 12

    D)            None of these

    Correct Answer: D

    Solution :

               Let the two factor of 36 are x and \[\frac{36}{x}\].                    Now solve \[x+\frac{36}{x}\] to be minimum. The factor will be 6,6.


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