Equation of line passing through the point a,b,cand making equal angles with coordinate axes where a,b,care all positive

Equation of line passing through the point $(a, b, c)$ and making equal angles with coordinate axes where $a, b, c$ are all positive

A
$x - a = y - b = z - c$
B
$\frac{x - a}{a} = \frac{y - b}{b} = \frac{z}{c}$
C
$\frac{x - a}{1} = \frac{y - b}{2} = \frac{z + c}{1}$
D
$x + a = y + b = z + c$

Solution:

If a line makes equal angles with coordinate axes, then the direction ratios of that line are proportional to $〈1, 1, 1〉$

Hence, the equation of the line passing through the point $(a, b, c)$ and having direction ratios $〈1, 1, 1〉$ is $x - a = y - b = z - c$

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