The shortest distance between the `z`-axis and the lines `x + y + 2z -3 = 0`, `2x + 3y + 4z- 4 = 0` must be

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Q 2187423387.     The shortest distance between the `z`-axis and

the lines `x + y + 2z -3 = 0`, `2x + 3y + 4z- 4 = 0` must be

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