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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

is an equation whose sum of roots exceeds 2 but the product of roots is less than 2. Then

Answer: (A)

Solution

Let the roots be . Then and , i.e.

< -2, < 2 ⇒ + < 0 ⇒ < 0

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Question ID VK-110418