Question

A plane makes intercept $3$ and $4$ respectively on $z-$axis and $x-$axis. If the plane is parallel to y-axis, then its equation is

• A. $3x+4z=12$
• B. $3z+4x=12$
• C. $3y+4z=12$
• D. $3z+4y=12$

Answer 1

The correct option is A $3x+4z=12$

Let $a,b,c$ be the intercepts of $x,y,z$ axes respectively.
Since, plane is parallel to $y-$axis, so plane equation is
$\frac{x}{a}+\frac{z}{c}=1$
$\Rightarrow \frac{x}{4}+\frac{z}{3}=1$
$\Rightarrow 3x+4z=12$