The equation of the straight line passing thr | vedclass

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Question

(D) The equation of a line passing through $(a, b, c)$ with direction ratios $(l, m, n)$ is given by $\frac{x - a}{l} = \frac{y - b}{m} = \frac{z - c}

Vedclass · Accepted Answer

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

Vedclass · Answer

(D) The equation of a line passing through $(a, b, c)$ with direction ratios $(l, m, n)$ is given by $\frac{x - a}{l} = \frac{y - b}{m} = \frac{z - c}{n}$.Since the line is parallel to the $z$-axis,its direction ratios are proportional to those of the $z$-axis,which are $(0, 0, 1)$.Thus,we have $l = 0, m = 0$,and $n = 1$.Substituting these values into the standard equation,we get $\frac{x - a}{0} = \frac{y - b}{0} = \frac{z - c}{1}$.

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

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