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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

If be the positive roots of a quadratic equation such that and then the quadratic equation is

Answer: (B)

Solution

, and . So

= Missing argument for \frac\frac52 ⇒ 2 + 4αβ = 5αβ ⇒

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Question ID VK-110419