JEE Main Mathematics question

Mathematics Quadratic Equations and Inequalities JEE Main

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

(A)Assertion is True, Reason is True; Reason is correct explanation for Assertion
(B)Assertion is True, Reason is True; Reason is not correct explanation for AssertionCorrect
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is True

Answer: (B)

Solution

If were non-real conjugates, the real quadratic with root would need the conjugate as its other root, forcing , i.e. , which is excluded; so are real. Then and

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Question ID VK-013788