If `4a+2b+c=0` , then the equation `3ax^(2)+2bx+c=0` has at least one real lying in the interval

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

If 2a+3b+6c =0 then the equation ax ^2 + bx +c=0 has atlest one root in

If a+b+c=0 then the quadratic equation 3ax^2+2bx+c=0 has at least one root in

If a+b+c=0 , then, the equation 3ax^(2)+2bx+c=0 has , in the interval (0,1).

If a+b+c=0 , then, the equation 3ax^(2)+2bx+c=0 has , in the interval (0,1).

Statement-1: If a, b, c in R and 2a + 3b + 6c = 0 , then the equation ax^(2) + bx + c = 0 has at least one real root in (0, 1). Statement-2: If f(x) is a polynomial which assumes both positive and negative values, then it has at least one real root.

Statement-1: If a, b, c in R and 2a + 3b + 6c = 0 , then the equation ax^(2) + bx + c = 0 has at least one real root in (0, 1). Statement-2: If f(x) is a polynomial which assumes both positive and negative values, then it has at least one real root.

If 27a+9b+3c+d=0 , then the equation 4ax^3+3bx^2+2cx+d=0 has at least one real root lying between