Question
Download Solution PDFEquation of a plane parallel to xz plane at unit distance is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
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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