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 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]

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

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

If 2a+3b+6c=0 , show that the equation ax^(2)+bx+c=0 has at least one root between 0 and 1.

Find the condition for which the quadratic equation ax^2+bx+c=0 has exactly one zero root.

If a,b,c in R : a ne 0 and the quadratic equation ax^2+bx+c =0 has no real root, then show that (a+b+c)c gt 0

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

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

If alpha,beta are the roots of the quadratic equation ax^2+bx+c=0 and 3b^2=16ac then