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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

Let be the lengths of sides of a scalene triangle. If the roots of the equation are real then

Answer: (A)

Solution

Real roots : , so

λ = Missing argument for \frac\frac13( + 2). (1)

In a triangle ; similarly , . Adding:

++ - ab - bc

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Question ID VK-110571