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 ne b `

`a ne c `

`b ne c `

a = b = c

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The correct Answer is:

If `c ne a`

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