AP EAMCET · Maths · Three Dimensional Geometry
An equation of a plane parallel to the plane \(x-2 y+2 z-5\) \(=0\) and which is at one unit distance from the origin is
- A \(x-2 y+2 z-1=0\)
- B \(x-2 y+2 z-1=0\)
- C \(x-2 y+2 z-3=0\)
- D \(x-2 y+2 z+1=0\)
Answer & Solution
Correct Answer
(C) \(x-2 y+2 z-3=0\)
Step-by-step Solution
Detailed explanation
Distance from the origin of plane \(x-2 y+2 z-1=0\) is \(d_1=\left|\frac{-1}{\sqrt{1+4+4}}\right| \neq 1\) Distance from the origin of the plane \(x-2 y+2 z+5=0\) is \(d_2=\frac{5}{\sqrt{1+4+4}}=\frac{5}{3} \neq 1\) Distance from the origin of the plane \(x-2 y+2 z-3=0\) is…
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