If x = l og a (bc), y = l og b (ca) and z = l og c (ab) then which of the following is…

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

If x = loga (bc), y = logb (ca) and z = logc (ab) then which of the following is equal to 1?
  1. x + y + z
  2. (1+ x)–1 + (1+ y)–1 + (1+ z)–1
  3. xyz
  4. none of these

Answer

(B) (1+ x ) –1 + (1+ y) –1 + (1+ z) –1

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