If `a , b , c ,` are the sides of a triangle `A B C` such that `x^2-2(a+b+c)x+3lambda(a b+b c+c a)=0` has real roots, then (a)`lambda<4/3` (b) `lambda>5/3` (c)`lambdain(4/3,5/3)` (d) `lambdain(1/3,5/3)`

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

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,where a!=b!=c 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 a.lambda (5)/(3) c.lambda in((1)/(3),(5)/(3)) d.lambda in((4)/(3),(5)/(3))

If a

If the equation ax^(2) + 2 bx - 3c = 0 has no real roots and (3c)/(4) lt a + b , then

The values of lambda for which the function f(x)=lambda x^(3)-2 lambda x^(2)+(lambda+1)x+3 lambda is increasing through out number line (a) lambda in(-3,3)( b) lambda in(-3,0)( c )lambda in(0,3) (d) lambda in(1,3)

If the sides of a triangle are b-3a+2c, a+3b-3c and 2a-b+c, then find its perimeter.

If a lt b lt c lt d then show that (x-a)(x-c)+3(x-b)(x-d)=0 has real and distinct roots.