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JEE Main Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main

If ; are three quadratic equations of which each pair has exactly one root common, then the number of solutions of the triplet is

Answer: (B)

Solution

Let the equations be with root products ; if the three pairs share three different roots, then , , with , , , so . gives , , (all with the same sign), and

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Question ID VK-014063