If `a, b, c` are the sides of a triangle ABC such that `x^2-2(a+b+c)x+3lambda(a b+b c+c a)=0` has real roots.then

If a,b,c, are the sides of a triangle ABC such that x^(2)-2(a+b+c)x+3 lambda(ab+bc+ca)=0 has real roots,then (a)lambda (5)/(3)(c)lambda in((4)/(3),(5)/(3)) (d) lambda in((1)/(3),(5)/(3))

If a, b, c are the sides of the triangle ABC such that a^(4) +b^(4) +c^(4)=2x^(2) (a^(2)+b^(2)), then the angle opposite to the side c is-

If sides of triangle ABC are a, b, and c such that 2b = a + c , then

If sides of triangle ABC are a, b, and c such that 2b = a + c , then

If a, b,c be the sides foi a triangle ABC and if roots of equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal then sin^2 A/2, sin^2, B/2, sin^2 C/2 are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

a,b,c represent the sides of a triangle ABC and the equations ax^(2)+bx+c=0 and 2x^(2)+3x+4=0 have a common root then the triangle ABC is

Let a, b,c be sides of a triangle. No two of them are equal and lambda in R. If the roots of the equation x^(2) + 2 (a + b + c) x + 3 lambda (ab + bc + ca ) = 0 are real , then :

If a, b, c are the sides of Delta ABC such that 3^(2a^(2))-2*3^(a^(2)+b^(2)+c^(2))+3^(2b^(2)+2c^(2))=0 , then Triangle ABC is