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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

Let be three real numbers such that . Then the quadratic equation has

Answer: (B)

Solution

Consider (equivalently the book's , which is ). Then and

F(1)=Missing argument for \frac\frac a3+Missing argument for \frac\frac b2+c==0.

By Rolle's theorem, vanishes at some

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Question ID VK-107975