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Year

CAT 2024

Section

Quantitative

Topic

Coordinate Geometry

Difficulty

Medium

Question

Slot-3

For some constant real numbers p,kp, k and aa, consider the following system of linear equations in xx and yy:
px4y=2px - 4y = 2
3x+ky=a3x + ky = a
A necessary condition for the system to have no solution for (x,y)(x, y) is

2a+k02a+k\neq0

ap6=0ap-6=0

ap+6=0ap+6=0

kp+120kp+12\neq0

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