CATAlgebra > Hard150150150175175175200200200225225225✅ Correct Option: 3Related questions:CAT 2020 Slot 3Let kkk be a constant. The equations kx+y=3kx + y = 3kx+y=3 and 4x+ky=44x + ky = 44x+ky=4 have a unique solution if and only ifCAT 2022 Slot 1Let a and b be natural number. If a2+ab+a=14a^2 + ab + a = 14a2+ab+a=14 and b2+ab+b=28b^2 + ab + b = 28b2+ab+b=28, then (2a+b)(2a + b)(2a+b) equalsCAT 2024 Slot 3For some constant real numbers p,kp, kp,k and aaa consider the following system of linear equations in xxx and yyy: px−4y=2px - 4y = 2px−4y=2 3x+ky=a3x + ky = a3x+ky=a A necessary condition for the system to have no solution for (x,y)(x, y)(x,y) is