Let ^ -1 x+ ^ -1 y+ ^ -1 z= 3 2 for 0 x, y, z 1. What is the value of x^ 1000 +y^ 1001 +z^ 1002 ?

NDA 2021 Mathematics question

Let

x+y+z=

for . What is the value of ?

Answer: (C)

The maximum value of is (at ). The sum of three such terms can equal only if each

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Question ID VK-033639