Let the line passing through the points (-1, 2, 1) and parallel to the line (x-1)/2 = (y+1)/3 = z/4 intersect the line (x+2)/3 = (y-3)/2 = (z-4)/3 at the point P. Then the distance of P from the point Q(4, -5, 1) is

Three Dimensional Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q57

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumThree Dimensional Geometry249× since 2002

Let the line passing through the points

(-1, 2, 1)

and parallel to the line

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

intersect the line

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

at the point

P

. Then the distance of

P

from the point

Q(4, -5, 1)

JEE Main 2025 Three Dimensional Geometry Question with Solution (January Unspecified (session-level dataset), Q57) | JEE Arc