MCQMediumJEE Main 2023 · 6 April, Shift 2Equation of Plane

Mathematics Question from JEE Main 2023 · 6 April, Shift 2

Let the line LL pass through the point (0,1,2)(0, 1, 2), intersect the line x12=y23=z34\frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} and be parallel to the plane 2x+y3z=42x + y - 3z = 4. Then the distance of the point P(1,9,2)P(1, -9, 2) from the line LL is:

  • A

    99

  • B

    54\sqrt{54}

  • C

    69\sqrt{69}

  • D

    74\sqrt{74}

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