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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

If the sum of the roots of the quadratic equation is equal to the sum of the squares of their reciprocals then are in

Answer: (B)

Solution

Let the roots be , with and . Then

Missing argument for \frac\frac1{α^2}+Missing argument for \frac\frac1{β^2}===.

Setting this equal to the sum of the r

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Question ID VK-110078