Question

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

Answer 1

$$\begin{gathered} \text{The equation of the plane parallel to the plane}\mathit{\text{ZOX}}\text{\hspace{0.17em}is} \\ y=b...\left(1\right),\text{where}\mathit{\text{b}}\text{is a constant.} \\ \text{It is given that this plane passes through (0, 3, 0). So,} \\ 3=b \\ \text{Substituting this value in (1), we get} \\ y=3,\text{which is the required equation of the plane.} \end{gathered}$$