Question

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

 

Answer 1

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