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MCQMediumJEE Main 2023 · 13 April, Shift 2Solving Linear Equations (Matrix Method)

Mathematics Question from JEE Main 2023 · 13 April, Shift 2

If the system of equations

2x+y−z=52x−5y+λz=μx+2y−5z=7\begin{aligned} 2x + y - z &= 5\\ 2x - 5y + \lambda z &= \mu\\ x + 2y - 5z &= 7 \end{aligned}

has infinitely many solutions, then (λ+μ)2+(λ−μ)2(\lambda + \mu)^2 + (\lambda - \mu)^2 is equal to:

  • A

    904904

  • B

    916916

  • C

    912912

  • D

    920920

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