IF a,b,c are real distincr numbers such that `a ^(3) +b ^(2) +c ^(3)= 3abc,` then the quadratic equation `ax ^(2) +bx +c =0` has

If a,b,c are real distinct numbers such that a ^(3) +b ^(3) +c ^(3)= 3abc, then the quadratic equation ax ^(2) +bx +c =0 has (a) Real roots (b) At least one negative root (c) Both roots are negative (d) Non real roots

If a + b + c = 0 then the quadratic equation 3ax^(2) + 2bx + c = 0 has

If a + b + c = 0 then the quadratic equation 3ax^(2) + 2bx + c = 0 has

If a + b + c = 0 , then the equation equation : 3ax^(2) + 2bx + c = 0 has :

If 2a+3b+6c=0 (a,b,cinR) , then the quadratic equation ax^2+bx+c =0 has

Let a,b,c in R and a ne 0 be such that (a + c)^(2) lt b^(2) ,then the quadratic equation ax^(2) + bx +c =0 has

Let a,b,c in R and a ne 0 be such that (a + c)^(2) lt b^(2) ,then the quadratic equation ax^(2) + bx +c =0 has

The quadratic equation ax^(2)+bx+c=0 has real roots if: