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JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

The set of values of for which will have a pair of conjugate complex roots is

Answer: (B)

Solution

If the roots are and , their sum is real. But the sum of roots is , which (for real ) is purely imaginary; it is real only when . So is necessary.

For the equation is , roots — indeed a conjugate pair. Hence the set

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Question ID VK-108083