If the absolute value of the difference of the roots of the equation x^2+ax+1=0 exceeds 3a , then

JEE Main Mathematics question

If the absolute value of the difference of the roots of the equation exceeds , then

Answer: (A)

, and the condition is taken as , i.e. , so or . Strictly, is real only for and then only survives,

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Question ID VK-014059