Question

If a, b, c are the sides of a triangle ABC such that x² – 2(a + b + c)x + 3λ(ab + bc + ca) = 0 has real roots, then

(a) \(\lambda < \frac 43\)

(b) \(\lambda > \frac 53\)

(c) \(\lambda \in(\frac 43, \frac 53)\)

(d) \(\lambda \in(\frac 13, \frac 53)\)

Answer 1

Correct option is (a) \(\lambda < \frac 43\)