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JEE Main Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main

Consider the quadratic equation , . Let be the set of all integral values of for which one root of the equation lies in the interval and its other root lies in the interval . Then the number of elements in is

Answer: (A)

Solution

Let ; then , and . A root in and another in requires sign changes: and . gives

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Question ID VK-014262