Jeeify
MCQMediumJEE Main 2023 · 6 April, Shift 2Solving Linear Equations (Matrix Method)

Mathematics Question from JEE Main 2023 · 6 April, Shift 2

For the system of equations

x+y+z=6x+2y+αz=10x+3y+5z=β\begin{aligned} x + y + z &= 6\\ x + 2y + \alpha z &= 10\\ x + 3y + 5z &= \beta \end{aligned}

which one of the following is NOT true:

  • A

    System has a unique solution for α=3,β≠14\alpha = 3, \beta \neq 14

  • B

    System has a unique solution for α=−3,β=14\alpha = -3, \beta = 14

  • C

    System has no solution for α=3,β=24\alpha = 3, \beta = 24

  • D

    System has infinitely many solutions for α=3,β=14\alpha = 3, \beta = 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.

Sign in to see the solution

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.

Start free trialMore on Solving Linear Equations (Matrix Method)

Related questions