Question
Find the equation of the plane through the point (3, 4,–1) which is parallel to the plane
Solution
The equation of plane is

Any plane parallel to it is
...(1)
∴ point (3, 4, – 1) lies on it
satisfies (1)

Putting this value of d in (1), we get

or
which is required equation of plane.

Any plane parallel to it is

∴ point (3, 4, – 1) lies on it


Putting this value of d in (1), we get

or

which is required equation of plane.