If `a,b,c in R and a+b+c=0,` then the quadratic equation `3ax^2+2bx+c=0` has (a) at least one root in `[0, 1]` (b) at least one root in `[1,2]` (c) at least one root in `[3/2, 2]` (d) none of these

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

the quadratic equation 3ax^2 +2bx+c=0 has atleast one root between 0 and 1, if

If a+b + c = 0, then show that the quadratic equation 3ax^(2) + 2bx +c=0 has at least one root in [0,1].

he quadratic equation 3ax^(2)+2bx+c=0 has atleast one root between 0 and 1, if

If a+b+2c=0, c!=0, then equation ax^2+bx+c=0 has (A) at least one root in (0,1) (B) at least one root in (0,2) (C) at least on root in (-1,1) (D) none of these

If a+b+2c=0, c!=0, then equation ax^2+bx+c=0 has (A) at least one root in (0,1) (B) at least one root in (0,2) (C) at least on root in (-1,1) (D) none of these

If 2a+3b+6c=0 " "(a, b, c in R) , then the quadratic equation ax^(2)+bx+c=0 has at least one root -

Let a ,b , c in R such that no two of them are equal and satisfy |(2a, b, c),( b, c,2a), (c, 2a, b)|=0, then equation 24 a x^2+8b x+4c=0 has (a) at least one root in [0,1] (b) at least one root in [-1/2,1/2] (c) at least one root in [-1,0] (d) at least two roots in [0,2]

Let a ,b , c in R such that no two of them are equal and satisfy |(2a, b, c),( b, c,2a), (c, 2a, b)|=0, then equation 24 a x^2+8b x+4c=0 has (a) at least one root in [0,1] (b) at least one root in [-1/2,1/2] (c) at least one root in [-1,0] (d) at least two roots in [0,2]