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Three Dimensional Geometry
Question
Wired Faculty App

Find equation of a plane parallel to 3x – 2y + z – 11= 0 and passing through the origin. 

Answer

Equation of any plane parallel to the plane
3x – 2y + z – 11 = 0 is
3x - 2y + z + k = 0    ...(1)
∴  it passes through origin (0, 0, 0)
0 - 0 + 0 + k = 0 ⇒ k = 0
Putting k = 0 in (1), we get,
3x –2y + z = 0
which is required equation of plane.

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