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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

If 3 and are two roots of a cubic equation with rational coefficients then the equation is

Answer: (D)

Solution

With rational coefficients the conjugate is also a root. The roots are ; . So the (monic) equation is

(x--2x-1)=-+

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Question ID VK-107973