An equation of a plane parallel to the plane x – 2y + 2z – 5 = 0 and at a unit distance from the origin is
An equation of a plane parallel to the plane x – 2y + 2z – 5 = 0 and at a unit distance from the origin is
(a) x – 2y + 2z – 1 = 0
(b) x – 2y + 2z + 5 = 0
(c) x – 2y + 2z – 3 = 0
(d) x – 2y + 2z + 1 = 0
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(c) : Equation of a plane parallel to
x – 2y + 2z – 5 = 0 and at a unit distance from origin is x – 2y + 2z + k = 0
⇒|k|/3 = 1 ⇒ |k| = 3
∴ x – 2y + 2z – 3 = 0 or x – 2y + 2z + 3 = 0
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