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JEE MATHEMATICS MCQ: FUNCTIONS

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If x,y∈R,x,y \in R, then 12(x+y+∣x−y∣)=x\frac{1}{2}\left( {x + y + \left| {x - y} \right|} \right) = x holds iff
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Correct option: D
x≥yx \ge y
Option D (x≥yx \ge y) is correct because the equation holds true only when x is greater than or equal to y, ensuring the absolute value simplifies correctly.

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