Question
Find equation of the plane parallel to x + 3y – 2z + 7 = 0 and passing through the origin.
Solution
Equation of any plane parallel to the plane
x + 3y –2z + 7 = 0 is
x + 3y – 2z + k=0 ...(1)
∵ it passes through origin (0, 0, 0)
∴ 0 + 0– 0 + k = 0 ⇒ k = 0
Putting k = 0 in (1), we get,
x + 3y –2z = 0
which is required equation of plane.
