Let a,b,c be the sides of a triangle. Now two of them are equal to `lamda epsilon R`. If the roots of the equation `x^(2)+2(a+b+c)x+3lamda(ab+bc+ca)=0` are real 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)

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

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:

If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal then a,b,c will be in

If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal, then prove that 2b=a+c

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 the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal, then prove that 2b=a+c .

If a, b, c are real and a!=b , then the roots ofthe equation, 2(a-b)x^2-11(a + b + c) x-3(a-b) = 0 are :

If a,b, cinR , show that roots of the equation (a-b)x^(2)+(b+c-a)x-c=0 are real and unequal,

Find the values of lamda and mu if both the roots of the equation (3lamda+1)x^(2)=(2lamda+3mu)x-3 are infinite.