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MCQMediumJEE Main 2023 · 30 January, Shift 2Equation of Plane

Mathematics Question from JEE Main 2023 · 30 January, Shift 2

If a plane passes through the points (−1,k,0),(2,k,−1),(1,1,2)(-1, k, 0), (2, k, -1), (1, 1, 2) and is parallel to the line x−11=2y+12=z+1−1\frac{x-1}{1} = \frac{2y+1}{2} = \frac{z+1}{-1}, then the value of k2+1(k−1)(k−2)\frac{k^2+1}{(k-1)(k-2)} is:

  • A

    175\frac{17}{5}

  • B

    517\frac{5}{17}

  • C

    613\frac{6}{13}

  • D

    136\frac{13}{6}

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