If A ( , 1 2 ) and B ( 1 2 , ), - , are two points on the same side of the line x-y=0 then belongs to the interval

JEE Advanced Mathematics question

If and , , are two points on the same side of the line then belongs to the interval

Answer: (A)

Let . The points are on the same side iff :

(α-)(-α)>0.

*Case 1:* both factors positive: and . In , $α>1{2}

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Question ID VK-108811