JEE Main Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main

If and the equation (where denotes the greatest integer ) has no integral solution, then all possible values of lie in the interval

Answer: (A)

Solution

Let ; the equation is , and an integral corresponds to , which needs , so . For , takes values in , so a solution exists (non-integral)

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Question ID VK-014190