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JEE Main Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main

For , consider the real valued function , and . Let and be in an arithmetic progression with mean and positive common difference. If for all , then the absolute difference between the roots of is

Answer: 50

Solution

Let the common difference be ; the terms are and , so at the inner terms and at the outer terms. at both forces

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Question ID VK-022214