If , are the roots of the equation ax^2+bx+c=0 such that < <0, then the quadratic equation whose roots are | |,| |, is given by

JEE Main Mathematics question

If are the roots of the equation such that , then the quadratic equation whose roots are , is given by

Answer: (C)

The roots and are roots of (replace by ). Both roots are negative, so

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Question ID VK-013775