Let P be a point in the first octant, whose image Q in the plane x+y=3 (that is, the line segment PQ is perpendicular to the plane x+y=3 and the mid-point of PQ lies in the plane x+y=3) lies on the z−axis. Let the distance of P from the x−axis be 5. If R is the image of P in the xy−plane, then the length of PR is

Let P be a point in the first octant, whose image Q in the plane x+y=3

1.	Let P be a point in the first octant, whose image Q in the plane x+y=3 (that is, the line segment PQ is perpendicular to the plane x+y=3 and the mid-point of PQ lies in the plane x+y=3) lies on the z−axis. Let the distance of P from the x−axis be 5. If R is the image of P in the xy−plane, then the length of PR is
Answer» Let $P$ be a point in the first octant, whose image $Q$ in the plane $x + y = 3$ (that is, the line segment $P Q$ is perpendicular to the plane $x + y = 3$ and the mid-point of $P Q$ lies in the plane $x + y = 3$ ) lies on the $z -$ axis. Let the distance of $P$ from the $x -$ axis be $5.$ If $R$ is the image of $P$ in the $x y -$ plane, then the length of $P R$ is