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JEE Main Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main

If set of values of for which , is positive for exactly three distinct negative integral values of lie in , then the value of is equal to

Answer: 4

Solution

; for , , so iff . If this holds for every negative (infinitely many), so and the condition becomes ; exactly the integers satisfy iff

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Question ID VK-013825