JEE Advance 2025 Paper 1

Let $L_{1}$   be the line of intersection of the planes $2x + 3y + z = 4$   and $x + 2y + z = 5$  . Let $L_{2}$   be the line passing through $P(2, -1, 3)$   and parallel to $L_{1}$  . Let $M$   be the plane $2x + y - 2z = 6$  . Suppose $L_{2}$   meets $M$   at $Q$  . Let $R$   be the foot of the perpendicular from $P$   to $M$  . Which statement(s) is (are) TRUE?