Question

The equation of the plane passing through the points $(a,0,0),(0,b,0)$ and $(0,0,c)$ is

• A. $ax+by+cz=0$
• B. $ax+by+cz=1$
• C. $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$
• D. $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=0$

Answer 1

Answer: (C)

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

Answer 2

Given points on the plane are $(a,\,\,0,\,\,0),\,(0,\,b,\,0)$
and $(0,\,0,\,c)$ .
$\therefore$ Length of intercept with x-axis, y-axis and z-axis are a, b and c respectively.
$\therefore$ Equation of the plane is
$\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$