CAT 2024 Slot 3 QA · Question 2

For some constant real numbers $p,k$ and $a$, consider the following system of linear equations in $x$ and $y$ : $$ \begin{aligned} & p x-4 y=2 \\ & 3 x+k y=a \end{aligned} $$ A necessary condition for the system to have no solution for $(x,y)$, is