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MCQMediumJEE Main 2023 · 31 January, Shift 2Solving Linear Equations (Matrix Method)

Mathematics Question from JEE Main 2023 · 31 January, Shift 2

If a point P(α,β,γ)P(\alpha, \beta, \gamma) satisfying the equation (αβγ)(2108938848)=(000)\begin{pmatrix} \alpha & \beta & \gamma \end{pmatrix} \begin{pmatrix} 2 & 10 & 8 \\ 9 & 3 & 8 \\ 8 & 4 & 8 \end{pmatrix} = \begin{pmatrix} 0 & 0 & 0 \end{pmatrix} lies on the plane 2x+4y+3z=52x + 4y + 3z = 5, then 6α+9β+7γ6\alpha + 9\beta + 7\gamma is equal to:

  • A

    −1-1

  • B

    115\frac{11}{5}

  • C

    54\frac{5}{4}

  • D

    1111

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