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QJEEAdv06Maaa76: JEE Advanced 2006 Mathematics - Class 11 JEEAdv06Maaa76 Solution: Let be the sides of triangle where and . If the roots of the…

Let

a,\,b,\,c

be the sides of triangle where

a \ne b \ne c

and

\lambda \in R

.
If the roots of the equation

{x^2} + 2\left( {a + b + c} \right)x + 3\lambda \left( {ab + bc + ca} \right) = 0

are real, then

Multiple Choice Options

A $\lambda < {4 \over 3}$
B $\lambda > {5 \over 3}$
C $\lambda \in \left( {{1 \over 3},\,{5 \over 3}} \right)$
D $\lambda \in \left( {{4 \over 3},\,{5 \over 3}} \right)$

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