If $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function defined for all $x \in \mathbb{R}$ by $f(x)=x^3+f^{\prime}(1) x^2+f^{\prime \prime}(2) x-f^{\prime \prime \prime}(3)$ then the area (in sq. units) of the triangle formed by $\mathrm{X}$-axis, the tangent and the normal drawn to the curve $y=f(x)$ at $x=0$ is

• A

  90
• B

  180
• Correct answer
  C

  45
• D

  130

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