If a,b,c are in G.P., then the equations ax^2+2bx+c=0 and dx^2+2ex+f=0 have a common root if da, eb, fc are in

JEE Main Mathematics question

If are in G.P., then the equations and have a common root if are in

Answer: (A)

With , has the double root , so the common root is . With the common root is , and substituting into the second equation gives

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Question ID VK-014118