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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

Let be real numbers. Suppose are the roots of the equation and are the roots of the equation where . STATEMENT-1: , *and* STATEMENT-2: or

Answer: (B)

Solution

Both equations have real coefficients, so their roots are both real or a conjugate pair.

Suppose is non-real. Then (first equation) and (second equation), so , i.e. — excluded. So are real, hence $α,

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Question ID VK-110704