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,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

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 last one root in [0,1] (b) at last one root in [-1/2,1/2] (c) at last one root in [-1,0] (d) at last two roots in [0,2]

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

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

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

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

If a,b,c in R and (a+c)^(2)

If 2a+3b+6c=0, then show that the equation ax^(2)+bx+c=0 has atleast one real root between 0 to 1.

If the equation ax^(2)+2bx-3c=0 has no real roots and ((3c)/(4)) 0c=0 (d) None of these

20.Let a,b and c be real numbers such that 4a+2b+c=0 and ab>0, Then the equation ax^(2)+bx+c=0 has ( A) real roots (B) imaginary roots (C) exactly one root (D) roots of same sign