If \( \alpha, \beta \) are the roots of \( \displaystyle ax^{2}+2bx+c=0 \) and that of \( \displaystyle Ax^{2}+2Bx+C=0 \) be \( \displaystyle \alpha+\delta, \beta +\delta \) then the value of \( \displaystyle \frac{b^{2}-ac}{B^{2}-AC} \) is
1
\( \displaystyle \left ( \frac{a}{A} \right )^{2} \)
2
\( \displaystyle \left ( \frac{A}{a} \right )^{2} \)
3
\( 0 \)
4
\( 1 \)