Question

A plane $\pi$ makes intercepts $3$ and $4$ respectively on $z-$axis. If $\pi$ 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 B $3z+4x=12$

Given the plane $\pi$ makes 3 and 4 intercepts on $x\&z-axis$ and is parallel to $y-axis$ ,

so its equation is,

$\frac{x}{3}+\frac{z}{4}+0=1$

$\frac{x}{3}+\frac{z}{4}=1$

$\therefore 4x+3z=12$

so,that correct option is B. and equation is $3z+4x=12$