The distance of the point \( (1, -2, 4) \) from the plane passing through the point \( (1, 2, 2) \) and perpendicular to the planes \( x - y + 2z = 3 \) and \( 2x - 2y + z + 12 = 0 \) is

1
\( \dfrac {1}{\sqrt {2}} \)
2
\( 2\sqrt {2} \)
3
\( 2 \)
4
\( \sqrt {2} \)

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