Question:
The values of $a$ and $b$, for which the system of equations
$2 x+3 y+6 z=8$
$x+2 y+a z=5$
$3 x+5 y+9 z=b$
has no solution, are :
Correct Option: 1
Solution:
$D=\left|\begin{array}{lll}2 & 3 & 6 \\ 1 & 2 & a \\ 3 & 5 & 9\end{array}\right|=3-a$
$D=\left|\begin{array}{lll}2 & 3 & 8 \\ 1 & 2 & 5 \\ 3 & 5 & b\end{array}\right|=b-13$
If $a=3, b \neq 13$, no solution.
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