Let \( a, b, c \) be the sides of a triangle. No two of them are equal and \( \lambda \in R \). ... VIDEO
Let \( a, b, c \) be the sides of a triangle. No two of them are equal and \( \lambda \in R \). If the roots of the equation
\( \mathrm{P} \) \( x^{2}+2(a+b+c) x+3 \lambda(a b+b c+c a)=0 \) are real, then
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(a) \( \lambda\frac{4}{3} \)
[IIT-JEE 2006, 3M]
(b) \( \lambda\frac{5}{3} \)
(c) \( \lambda \in\left(\frac{1}{3}, \frac{5}{3}\right) \)
(d) \( \lambda \in\left(\frac{4}{3}, \frac{5}{3}\right) \)
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