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$Equation of a line through (5,3,6) and parallel to z - axis is$

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x−50=y−31=z−60

x−50=y−30=z−61

x−51=y−32=z−65

x−51=y−30=z−60

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Correct option is B

The direction cosines of z- axis is ⟨0,0,1⟩The equation of the line passing through the point 5,3,6 and having direction cosines ⟨0,0,1⟩ is x−50=y−30=z−61

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Equation of a line through (5,3,6)and parallel to z−axis is

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$Equation of a line through (5,3,6) and parallel to z - axis is$