If the equations x^2+ix+a=0, x^2-2x+ia=0, a 0 have a common root then

JEE Advanced Mathematics question

If the equations , , have a common root then

Answer: (C)

Let be the common root. By cross-multiplication on and :

==\ ⇒\ ==1{-2-i}.

So and .

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Question ID VK-107979