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JEE Advanced 2010 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced 2010

Let p and q be real numbers such that , and . If and are nonzero complex numbers satisfying and , then a quadratic equation having and as its roots is

Answer: (B)

Solution

Use : . Sum of the required roots: $ + = = =

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Question ID VK-025768