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JEE Main 2008 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main 2008

The quadratic equations and have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is

Answer: (4)

Solution

Let the common root be α and the other roots 4k and 3k. From the second equation: . From the first: \frac$8α = 6

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Question ID VK-039077