Consider the following system of equations :
$$
\begin{aligned}
& x+2 y-3 z=a \\
& 2 x+6 y-11 z=b \\
& x-2 y+7 z=c
\end{aligned}
$$
where $\mathrm{a}, \mathrm{b}$ and c are real constants. Then the system of equations :
Select the correct option:
A
has a unique solution when $5 a=2 b+c$
B
has infinite number of solutions when $5 a=2 b+c$
C
has no solution for all $\mathrm{a}, \mathrm{b}$ and c
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