The equations of two straight lines are $\(L-6 x+4 y+5=0 \& M-9 x+6 y=0\)$ which when simplified we get, $\(L-3 x+2 y+\frac{5}{2}=0 \& M-3 x+2 y=0\)$ which are clearly parallel lines.

(The lines of the form $\(a x+b y=c \& a x+b y=c_1\)$ are parallel lines)

Two parallel lines do not intersect, so the angle between them is $\(0^{\circ}\)$, so options \((A) \& (B)\) are correct.

Also the line M passes through origin as $\(3 \times 0+2 \times 0=0+0=0\)$, so option (c) is also correct. Hence the answer is (A), (B) \& (C).