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
_____ .
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