ID: Class: 12 Subject: Math Topic: Three Dimensional Geometry Type: Long (LA) Year: 2025

Question:

Find a point $P$ on the line $\frac{x+5}{1} = \frac{y+3}{4} = \frac{z-6}{-9}$ such that its distance from point $Q(2, 4, -1)$ is 7 units. Also, find the equation of the line joining $P$ and $Q$.