Question

Write the equation of the plane parallel to the YOZ- plane and passing through (−4, 1, 0).

Answer 1

$$\begin{gathered} \text{The equation of the plane parallel to the plane}\mathit{\text{YOZ}}\text{\hspace{0.17em} is} \\ x=b...\left(1\right),\text{where}\mathit{\text{b}}\text{is a constant.} \\ \text{It is given that this plane passes through (-4, 1, 0). So,} \\ -4=b \\ \text{Substituting this value in (1), we get} \\ x=-4,\text{which is the required equation of the plane.} \end{gathered}$$