Let $P$ and $Q$ be the vertices of the parabolae $y=x^2+b x+c$ and $y=-x^2+d x+e$, respectively.


If $P$ and $Q$ are the points of intersection of the parabolae then the slope of the line through $P$ and $Q$ is

• A

  $\frac{c+e}{2}$
• B

  $\frac{c+d}{2}$
• Correct answer
  C

  $\frac{b+d}{2}$
• D

  $\frac{b+e}{2}$

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