Question
Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.
Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.
Clearly, the plane passes through the point $(0,3,0)$.
The direction cosines of the normal to the plane are $< 0,1,0 >$
$\therefore$ The equation of the plane is,
$0(x - 0) + 1 \cdot (y - 3) + 0(z - 0) = 0$
$\Rightarrow$ $y - 3 = 0 \Rightarrow y = 3$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Three Dimensional Geometry. Curated by Sachin Sharma. Free for all students.