MCQMediumJEE Main 2026 · 23 January, Shift 2Solving Linear Equations (Matrix Method)

Mathematics Question from JEE Main 2026 · 23 January, Shift 2

The system of linear equations

x+y+z=6x + y + z = 6

2x+5y+az=362x + 5y + az = 36

x+2y+3z=bx + 2y + 3z = b

has

  • A

    infinitely many solutions for a=8a=8 and b=14b=14

  • B

    infinitely many solutions for a=8a=8 and b=16b=16

  • C

    unique solution for a=8a=8 and b=16b=16

  • D

    unique solution for a=8a=8 and b=14b=14

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Practice more Solving Linear Equations (Matrix Method) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Related questions