Question

$5,7$ are the intercepts of a plane on the $y$ - axis, $z$ - axis respectively. If the plane is parallel to the $x$-axis, then the equation of that plane is

• A. $5y+7z=35$
• B. $7y+5z=1$
• C. $\frac{y}{5}+\frac{Z}{7}=35$
• D. $7y+5z=35$

Answer 1

The correct option is D $7y+5z=35$

The equation of the plane with intercepts $a,b,c$ on the axes is $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}$ $=1$
$a=$ infinite (plane is parallel to the $x$-axis, $b=5$, $c=7$
$\therefore \frac{y}{5}+\frac{z}{7}$ $=1$
$\therefore 7y+5z=35$