Question

Equation of the line passing through points (a, b, c) and

(a – b, b – c, c – a) is

• A. $\frac{x - a}{a - b},\frac{y - b}{b - c} = \frac{z - c}{c - a}$
• B. $\frac{x - a}{a} = \frac{y - b}{b} = \frac{z - c}{c}$
• C. $\frac{x - a}{b} = \frac{y - b}{c} = \frac{z - c}{a}$
• D. $\frac{x - a}{2a - b} = \frac{y - b}{2b - c} = \frac{z - c}{2c - a}$

Answer 1

Answer: (C)

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

Answer 2

Use formula $\frac{x - x_{1}}{x_{2} - x_{1}} = \frac{y - y_{1}}{y_{2} - y_{1}} = \frac{z - z_{1}}{z_{2} - z_{1}}$