TS EAMCET · Maths · Three Dimensional Geometry
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
A plane passing through the point \((-1,2,3)\), then its equation is \[ a(x+1)+b(y-2)+c(z-3)=0 \] where \(\langle a, b, c\rangle\) are direction ratios of normal to the plane \(A B C\). So, the normal makes equal angles with coordinate axes i.e.,…
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