Applications Of Derivatives Question 363
Question: 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]
Options:
A) $ p\ne q $
B) $ q\ne r $
C) $ r\ne p $
D) $ p=q=r $
Show Answer
Answer:
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 $ .
BETA
