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MCQMediumJEE Main 2023 · 25 January, Shift 2Basics of Vectors

Mathematics Question from JEE Main 2023 · 25 January, Shift 2

The foot of the perpendicular from the point (2,0,5)(2, 0, 5) on the line x+12=y−15=z+1−1\frac{x+1}{2} = \frac{y-1}{5} = \frac{z+1}{-1} is (α,β,γ)(\alpha, \beta, \gamma). Then, which of the following is NOT correct?

  • A

    αβγ=415\frac{\alpha \beta}{\gamma} = \frac{4}{15}

  • B

    αβ=−8\frac{\alpha}{\beta} = -8

  • C

    βγ=−5\frac{\beta}{\gamma} = -5

  • D

    γα=58\frac{\gamma}{\alpha} = \frac{5}{8}

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