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JEE Main Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main

If three distinct numbers are in G.P. and the equations and have a common root, then which one of the following statements is correct?

Answer: (C)

Solution

Since , the first equation has the double root , so this is the common root. Substituting into the second: ; using this

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Question ID VK-014270