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JEE Advanced Mathematics question

MathematicsTrigonometric EquationsJEE Advanced

Not in JEE Main syllabus

Let = the greatest integer less than or equal to . The equation has

Answer: (A),(B),(C),(D)

Solution

Since , the equation is

x=2+[ x]+[- x].

The RHS is an integer, so . Check each: - (): RHS . - (): RHS

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Question ID VK-108585