Let a straight line L pass through the point P(2,-1,3) and be perpendicular to the lines (x-1)/4=(y+1)/4=(z-3)/2 and (x-3)/4=(y-2)/3=(z+2)/4. If the line L intersects the yz -plane at the point Q, then the distance between the points P and Q is:

Three Dimensional Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q141

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

Let a straight line

L

pass through the point

P(2,-1,3)

and be perpendicular to the lines

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

and

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

. If the line

L

intersects the

yz

-plane at the point

Q

, then the distance between the points

P

and

Q

is:

JEE Main 2025 Three Dimensional Geometry Question with Solution (January Unspecified (session-level dataset), Q141) | JEE Arc