Statement-$I$: If $a, b, c \in R$ and the equations $ax^2 + bx + c = 0$ and $x^2 + 3x + 4 = 0$ have a common root,then $\frac{a+c}{b} = \frac{4}{3}$.
Statement-$II$: If $a_1x^2 + b_1x + c_1 = 0$ and $a_2x^2 + b_2x + c_2 = 0$ have both roots common,then $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$,where $a_1, a_2, b_1, b_2, c_1, c_2 \in R$.

• A
  Statement-$I$ is true,Statement-$II$ is true,Statement-$II$ is the correct explanation for Statement-$I$.
• B
  Statement-$I$ is true,Statement-$II$ is true,Statement-$II$ is not the correct explanation for Statement-$I$.
• C
  Statement-$I$ is true,Statement-$II$ is false.
• D
  Statement-$I$ is false,Statement-$II$ is true.