Browse Questions

# Find the equation of the plane with intercept 3 on the y - axis and parallel to ZOX plane.

$\begin{array}{1 1} x=3 \\y=3 \\z=3 \\ x+y+x=3\end{array}$

Toolbox:
• Equation of a plane,whose intercepts are $a,b,c$ is given by $\large\frac{x}{a}$$+\large\frac{y}{b}$$+\large\frac{z}{c}$$=1$
Step 1:
We know that the equation of the plane $ZOX$ is $y=0$
Any plane which is parallel to it is of the form $y=a$
Where $a$ is the $y$-intercept of the plane.
Step 2:
But it is given $a=3$
Therefore the equation of the required plane is $y=3$