Question Id : 13200 |
Context : JEE Main 2023 (25 January Morning Shift)
Let $S_{1}$ and $S_{2}$ be respectively the sets of all $a\in \mathbb{R}\setminus\{0\}$ for which the system of linear equations
$ax+2ay-3az=1$
$(2a+1)x+(2a+3)y+(a+1)z=2$
$(3a+5)x+(a+5)y+(a+2)z=3$
has unique solution and infinitely many solutions. Then
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