Let $\;L_{1}\;$ be the length of the common chord of the curves $\;x^{2}+y^{2}=9\;$ and $\;y^{2}=8x\;$ , and $\;L_{2}\;$ be the length of the latus rectum of $\;y^{2}=8x\;$, then :

Question

$(a)\;L_{1} > L_{2} \qquad(b)\;L_{1} = L_{2}\qquad(c)\;L_{1} < L_{2}\qquad(d)\;\large\frac{L_{1}}{L_{2}} =\normalsize \sqrt{2}$