Let the line L pass through the point (0,1,2), intersect the line (x-1)/2=(y-2)/3=(z-3)/4 and be parallel to the plane 2 x+y-3 z=4. Then the distance of the point P(1,-9,2) from the line L is:

Three Dimensional Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Evening shift · Q2473

JEE Main 20236 Apr, Evening shiftMathematicsHardThree Dimensional Geometry249× since 2002

Let the line

\mathrm{L}

pass through the point

(0,1,2)

, intersect the line

\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}

and be parallel to the plane

2 x+y-3 z=4

. Then the distance of the point

\mathrm{P}(1,-9,2)

from the line

\mathrm{L}

is :