Question

If a+b+c =0, then the equation $3a{x}^2+2bx+c=0$ has:

• A. at least one root in (0,1)
• B. one root in (2,3) and the other in (-2,-1)
• C. Imaginary roots
• D. None of these

Answer 1

The correct option is A at least one root in (0,1)

These questions are flexible. So, we can assume values of a, b, and c to make an other quardatic equation.

Use Assumption

Let a = 0, b = 1, c = -1. Equation becomes 2x -1 = 0, $x=\frac{1}{2}.$

Now, we can eleminate options (b) and (c). It satisfies option (a)