The equation of straight line passing through the point $(a, b, c)$ and parallel to $z$ -axis, is

\frac{x - a}{1} = \frac{y - b}{1} = \frac{z - c}{0}

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\frac{x - a}{0} = \frac{y - b}{1} = \frac{z - c}{1}

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\frac{x - a}{1} = \frac{y - b}{0} = \frac{z - c}{0}

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\frac{x - a}{0} = \frac{y - b}{0} = \frac{z - c}{1}

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Solution

The correct option is D $\frac{x - a}{0} = \frac{y - b}{0} = \frac{z - c}{1}$
The line passes through $(a, b, c)$ and parallel to $z$ -axis.

Direction ratio's of $z$ -axis is $0, 0, 1$ and it passes through $(a, b, c)$ , so equation of line is given by

$\frac{x - a}{0} = \frac{y - b}{0} = \frac{z - c}{1}$

Hence, option D is correct.

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The equation of straight line passing through the point (a,b,c) and parallel to z-axis, is

The correct option is D x−a0=y−b0=z−c1The line passes through (a,b,c) and parallel to z-axis.Direction ratio's of z-axis is 0,0,1 and it passes through (a,b,c), so equation of line is given byx−a0=y−b0=z−c1Hence, option D is correct.

The equation of straight line passing through the point $(a, b, c)$ and parallel to $z$ -axis, is