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MCQMediumJEE Main 2023 · 15 April, Shift 1Solving Linear Equations (Matrix Method)

Mathematics Question from JEE Main 2023 · 15 April, Shift 1

Let the system of linear equations −x+2y−9z=7−x+3y+7z=9−2x+y+5z=8−3x+y+13z=λ\begin{aligned} -x+2y-9z &= 7\\ -x+3y+7z &= 9\\ -2x+y+5z &= 8\\ -3x+y+13z &= \lambda \end{aligned} have a unique solution x=α, y=β, z=γx=\alpha,\ y=\beta,\ z=\gamma. Then the distance of the point (α,β,γ)(\alpha,\beta,\gamma) from the plane 2x−2y+z=λ2x-2y+z=\lambda is

  • A

    77

  • B

    99

  • C

    1111

  • D

    1313

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