CAT 2024 Coordinate Geometry Question (Medium)

Question

For some constant real numbers and , consider the following system of linear equations in and A necessary condition for the system to have no solution for is

Accepted Answer

Step 1 We are given the system of equations We are asked to find a necessary condition for this system to have no solution. Step 2 A system of linear equations has no solution when the lines are parallel but not coincident. This happens when the ratios of coefficients of and are equal, but the ratio

CAT 2024

Quantitative

Coordinate Geometry

Medium

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

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