JEE Mains · Maths · STD 12 - 11. three dimension geometry
The equation of the plane which contains the \(y-\)axis and passes through the point \((1,2,3)\). is
- A \(x+3 z=10\)
- B \(x+3 z=0\)
- C \(3 x+z=6\)
- D \(3 x-z=0\)
Answer & Solution
Correct Answer
(D) \(3 x-z=0\)
Step-by-step Solution
Detailed explanation
\(\overrightarrow{ n }=\hat{ j } \times(\hat{ i }+2 \hat{ j }+3 \hat{ k })\) \(=-3 \hat{i}+0 \hat{j}+\hat{k}\) So, \((-3)(x-1)+0(y-2)+(1)(z-3)=0\) \(\Rightarrow-3 x+z=0\) Alternate : Required plane is…
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