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JEE Main Mathematics question on Complex Numbers and Quadratic Equations

If a+b+c=0a + b + c = 0, then the quadratic equation 3ax2+2bx+c=03ax^2 + 2bx + c = 0 has
  1. A.
    at least one root in (0,1)(0, 1)
  2. B.
    one root in (2,3)(2, 3) and the other in (−2,−1)(-2, -1)
  3. C.
    imaginary roots
  4. D.
    None of the above
Show answer

Correct option: A

Previous-year question, JEE Main.

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