Consider the lines L₁: x - 1 = y - 2 = z and L₂: x - 2 = y - 2 = z - 1. Let the feet of the perpendiculars from the point P(5,1,-3) on the lines L₁ and L₂ be Q and R respectively. If the area of the triangle PQR is A, then 4A² is equal to:

Three Dimensional Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q166

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

Consider the lines

L_1: x - 1 = y - 2 = z

and

L_2: x - 2 = y - 2 = z - 1

. Let the feet of the perpendiculars from the point

P(5,1,-3)

on the lines

L_1

and

L_2

Q

and

R

respectively. If the area of the triangle

PQR

A

, then

4A^2

is equal to:

JEE Main 2025 Three Dimensional Geometry Question with Solution (April Unspecified (session-level dataset), Q166) | JEE Arc