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

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

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

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]

Find the condition if the equation 3x^2+4a x+b=0 has at least one root in (0,1)dot

Find the condition if the equation 3x^2+4a x+b=0 has at least one root in (0,1)dot

If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have (a) no real solution (b) at least one real root in (-1,0) (c) at least one real root in (0,1) (d) none of these

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

If the quadratic equation ax^2+bx+c=0 has -2 as one of its roots then ax + by + c = 0 represents

If a, b, c ∈ R, a ≠ 0 and the quadratic equation ax^2 + bx + c = 0 has no real root, then show that (a + b + c) c > 0