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

  • question_answer
    The function \[f(x)=|px-q|+r|x|,\] \[x\in (-\infty ,\infty )\] where \[p>0,q>0,r>0\]assumes its minimum value only at one point if [Pb. CET 2003]

    A)            \[p\ne q\]

    B)            \[q\ne r\]

    C)            \[r\ne p\]

    D)            \[p=q=r\]

    Correct Answer: D

    Solution :

               \[f(x)=|px-9|+r|x|,x\in (-\infty ,\,\,\infty )\]                    Where \[p>0,\] \[q>0\]and \[r>0\]can assume its minimum value only at one point, if  \[p=q=r\].


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