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  4. Line (x-2/3)=(y-3/4)=(z-4/0) is

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Q. Line $ \frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{0} $ is

Rajasthan PETRajasthan PET 2002

Solution:

$ \frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{0} $
Taking first and third terms
$ \frac{x-2}{3}=\frac{z-4}{0} $
$ \Rightarrow $ $ z-4=0 $
$ \Rightarrow $ $ z=4 $
Hence, given line is perpendicular to z-axis.