Consider the following conic \( C, C \equiv 5 x^{2}+8 x y+5 y^{2}=10 \), which of the following is/are true for \( C ? \)
(A) Eccentricity of \( C \) is \( \frac{\sqrt{2}}{3} \)
(B) Length of major axis of \( C \) is \( 2 \sqrt{10} \)
(C) Length of minor axis of \( C \) is \( \frac{2 \sqrt{10}}{3} \)
(D) Length of latus rectum of \( C \) is \( \frac{5 \sqrt{10}}{81} \)
