Let a, b, c be the lengths of the sides of a triangle (no two of them are equal) and `k in R`.If the roots of the equation `x^2 + 2(a+b+c)x+6k(ab+bc+ac)=0` are real, then:

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

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 x^2+2(a+b+c)x+3lambda(ab+bc+ca)=0 are real, then (a) lambda 5/3 (c) lambda in (1/5,5/3) (d) lambda in (4/3,5/3)

The roots of the equation a(b-2x)x^(2)+b(c-2a)x+c(a-2b)=0 are, when ab+bc+ca=0

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are,when ab+bc+ca=0

If a, b, c are the sides of a triangle having perimeter 2 than the roots of the equation x^(2)-2sqrt(ab+bc+ca)(x)+abc+1=0 are

Let a,b and c be the three sides of a triangle. Suppose a and b are the roots of the equation x^(2)-(c+4)x+4(c+2)=0 and the largest angle of the triangle is

If a,b,c are the lengths of the sides of a triangle,then the range of (ab+bc+ca)/(a^(2)+b^(2)+c^(2))