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f(x)=|a x-b|+c|x|AAx in (-oo,oo), where ...

`f(x)=|a x-b|+c|x|AAx in (-oo,oo),` where `a >0, b >0,c > 0.` Find the condition if `f(x)` attains the minimum value only at one point.

A

`p!=q`

B

`r!=q`

C

`r!=p`

D

`p=q=r`

Text Solution

Verified by Experts

The correct Answer is:
C
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MOTION-MONOTONOCITY-Exercise - 2 (Level-I) ( Objective Problems ) ( MAXIMUM & MINIMUM VALUE IN CLOSED INTERVAL BY MONOTONOCITY )
  1. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

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