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MCQMediumJEE Main 2023 · 30 January, Shift 1Solving Linear Equations (Matrix Method)

Mathematics Question from JEE Main 2023 · 30 January, Shift 1

Let the system of linear equations

x+y+kz=2x + y + kz = 2

2x+3y−z=12x + 3y - z = 1

3x+4y+2z=k3x + 4y + 2z = k

have infinitely many solutions. Then the system

(k+1)x+(2k−1)y=7(k+1)x + (2k-1)y = 7

(2k+1)x+(k+5)y=10(2k+1)x + (k+5)y = 10

has:

  • A

    infinitely many solutions

  • B

    unique solution satisfying x−y=1x - y = 1

  • C

    no solution

  • D

    unique solution satisfying x+y=1x + y = 1

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