Consider the equations $y=x^3-x^2+3 x-4$ and $y=\alpha x^2-x-4, \quad \alpha \in \mathbb{R.}$
The number of values of $\alpha$ for which the above two equations intersect at exactly two points is

• A

  $0$
• Correct answer
  B

  $2$
• C

  $1$
• D

  $3$

Hence, the correct answer is option: 'B'.