The function f ( x ) = | px – q | + r | x |, x ∈ (–∞, ∞) where p > 0, q > 0, r > 0…

Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions

The function f (x) = |px – q| + r|x|, x ∈ (–∞, ∞) where p > 0, q > 0, r > 0 assumes its minimum value only on one point if
  1. p ≠ q
  2. r ≠ q
  3. r ≠ p
  4. p = q = r

Answer

(C) r ≠ p

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