AP EAMCET · Maths · Three Dimensional Geometry
The equation of the plane through the intersection of the planes \(x+2 y+3 z-4=0\) and \(4 x+3 y+2 z+1=0\) and passing through the origin is
- A \(17 x+14 y+11 z=0\)
- B \(7 x+4 y+z=0\)
- C \(x+14 y+11 z=0\)
- D \(17 x+y+z=0\)
Answer & Solution
Correct Answer
(A) \(17 x+14 y+11 z=0\)
Step-by-step Solution
Detailed explanation
Required Equation of plane is given by, \((x+2 y+3 z-4)+\lambda(4 x+3 y+2 z+1)=0\) ...(i) Since above plane passing through \((0,0,0)\) \(-4+\lambda(\mathrm{l})=0 \Rightarrow \lambda=4\) Put \(\lambda=4\) in Eq. (i)…
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