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Equation of a plane parallel to xz plane at unit distance is 

Equation of a plane parallel to xz plane at unit distance is  Correct Answer y = 1

Concept:

Standard equations for some special plane:

  • A plane parallel to the x-y-plane must have a standard equation z = d, where d = distance of a plane from xy plane
  • A plane parallel to the y-z-plane has equation x = d, where d = distance of a plane from yz plane
  • A plane parallel to the x-z-plane has equation y = d, where d = distance of a plane from xz plane

 

 

Calculation:

Equation of xz plane is y = 0.

We know, a plane parallel to the x-z-plane has equation y = d

Here, d = 1

∴The equation of plane parallel to xz plane at unit distance will be, y = 1

Hence, option (2) is correct.

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