AP EAMCET · Maths · Three Dimensional Geometry
The equation of a plane passing through \((-1,2,3)\) and whose normal makes equal angles with the coordinate axes is
- A \(x+y+z+4=0\)
- B \(x-y+z+4=0\)
- C \(x+y+z-4=0\)
- D \(x+y+z=0\)
Answer & Solution
Correct Answer
(C) \(x+y+z-4=0\)
Step-by-step Solution
Detailed explanation
Since, normal makes equal angles with co-ordinate axis. So, it intercept with all the axis will be same. So, equation of plane will be : \[ \frac{x}{a}+\frac{y}{a}+\frac{z}{a}=1 \Rightarrow x+y+z=a.....(i) \] Now, it passes through \((-1,2,3)\). So, we get…
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