If ^2 ^2 + ^2 ^2 + ^2 ^2 +2 ^2 ^2 ^2 =1, then the value of ^2 + ^2 + ^2 is

JEE Main Mathematics question

If , then the value of is

Answer: (C)

Put , , : the condition is xy+yz+zx+2xyz=1. Add to both sides: 1+x+y+z+xy+yz+zx+xyz=x+y+z+xy+yz+zx+2xyz+1-\ldots — more directly, the relation

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Question ID VK-008341