COMEDK · Maths · 34. Three Dimensional Geometry
The line \(\frac{x-1}{2}=\frac{y}{1}=\frac{z+1}{1}\) is parallel to the plane
- A \(2 x+y+z=2\)
- B \(2 x-y+z=2\)
- C \(x-y+2 z=2\)
- D \(x-y-z=3\)
Answer & Solution
Correct Answer
(D) \(x-y-z=3\)
Step-by-step Solution
Detailed explanation
Direction ratio's of given line \(\equiv(2,1,1)\) From option (4), direction ratio's of plane \(\equiv(1,-1,-1)\) \(\therefore 2 \times 1+1(-1)+1(-1)\left[l_1 l_2+m_1 m_2+n_1 n_2=0\right.\) if line and plane are parallel] \(2-1-1=0\)
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