JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

If are nonzero real numbers such that

+ + + + (ab + bc +

then are in

Answer: (B)

Solution

By Lagrange's identity,

+ + + + - (ab + bc + = (ac - + (ad - + (bd - \ 0.

The given condition says this is , so each

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Question ID VK-107768