The distance of the point \((1,1,9)\) from the point of intersection of the line \(\frac{x - 3}{1} = \frac{y - 4}{2} = \…

The distance of the point \((1,1,9)\) from the point of intersection of the line \(\frac{x - 3}{1} = \frac{y - 4}{2} = \frac{z - 5}{2}\) and the plane \(x + y + z = 17\) is:

[JEE Main 2021, 24 Feb (Shift 1)]