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CAT 2024 Set-3 | Quantitative Aptitude | Question: 7

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For some constant real numbers $p, k$ and $a$, consider the following system of linear equations in $x$ and $y$:

$px-4y=2$

$3x+ky=a$

A necessary condition for the system to have no solution for $(x, y)$, is

  1. $ap - 6 = 0$
  2. $ap+6= 0$
  3. $2a+k\neq 0$
  4. $kp+12\neq 0

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