Consider the line L passing through the points (1,2,3) and (2,3,5). The distance of the point (11/3, 11/3, 19/3) from the line L along the line (3 x-11)/2=(3 y-11)/1=(3 z-19)/2 is equal to

Three Dimensional Geometry: JEE Main 2024 Mathematics question

JEE Main 2024 · 9 Apr, Evening shift · Q2532

JEE Main 20249 Apr, Evening shiftMathematicsHardThree Dimensional Geometry249× since 2002

Consider the line

\mathrm{L}

passing through the points

(1,2,3)

and

(2,3,5)

. The distance of the point

\left(\frac{11}{3}, \frac{11}{3}, \frac{19}{3}\right)

from the line

\mathrm{L}

along the line

\frac{3 x-11}{2}=\frac{3 y-11}{1}=\frac{3 z-19}{2}

is equal to