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JEE Advance 2006
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Question
Let $\mathrm{a}, \mathrm{b}, \mathrm{c}$ be the sides of a triangle. No two of them are equal and $\lambda \in \mathrm{R}$. If the roots of the equation $\mathrm{x}^2+2(\mathrm{a}+\mathrm{b}+\mathrm{c}) \mathrm{x} +3 \lambda(a b+b c+c a)=0$ are real, then
Select the correct option:
A
$\lambda<\frac{4}{3}$
B
$\lambda>\frac{5}{3}$
C
$\lambda \in\left(\frac{1}{3}, \frac{5}{3}\right)$
D
$\lambda \in\left(\frac{4}{3}, \frac{5}{3}\right)$
✓ Correct! Well done.
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