$f(x)$ and $g(x)$ are two differentiable function on [0,2] such that $f''(x)-g''(x)=0$. $f'(1)=2g'(1)=4f(2)=3g(2)=9$ then $f(x)-g(x)$ at $x=\large\frac{3}{2}$ is

Question

$(a)\;0\qquad(b)\;2\qquad(c)\;10\qquad(d)\;5$

Comments

please add the required comma in the question after 4,f(2) it ruined my 30 minutes