TS EAMCET · Maths · Three Dimensional Geometry
A plane ( \(\pi\) ) passing through the point \((1,2,-3)\) is perpendicular to the planes \(x+y-z+4=0\) and \(2 x-y+z+1=0\). If the equation of the plane \((\pi)\) is \(a x+b y+c z+1=0\) then \(a^2+b^2+c^2=\)
- A 4
- B 3
- C 2
- D 1
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
\(\pi \equiv a x+b y+c z+1=0\) passes through \((1,2,-3)\) \(\Rightarrow a+2 b-3 c=-1 \qquad ....\mathrm{(i)}\) Also, \(\pi\) is perpendicular to the planes…
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