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]

The function \[f(x)=|px-q|+r|x|,\] \[x\in (-\infty ,\infty )\] where \

1.	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.	\[p=q=r\]
Answer» E.

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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]

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