With reference to the principal values, if ^ -1 x+ ^ -1 y+ ^ -1 z= 3 2 , then x^ 100 +y^ 100 +z^ 100 =

MHT CET 2022 Mathematics question

With reference to the principal values, if , then

(A)2
(B)3Correct
(C)1
(D)6

Answer: (B)

Solution

The principal value of lies in , so each of the three terms is at most and the maximum possible sum is . Since the given sum equals this maximum, every term must equal :

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Question ID VK-093860