JEE Mains · Maths · STD 12 - 11. three dimension geometry
The largest value of \(a,\) for which the perpendicular distance of the plane containing the lines \(\vec{r}=(\hat{i}+\hat{j})+\lambda(\hat{i}+a \hat{j}-\hat{k})\) and \(\vec{r}=(\hat{i}+\hat{j})+\mu(-\hat{i}+\hat{j}-a \hat{k})\) from the point \((2,1,4)\) is \(\sqrt{3}\), is\(...\)
- A \(22\)
- B \(2\)
- C \(4\)
- D \(0\)
Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
\(\overrightarrow{ r }=(\hat{ i }+\hat{ j })+\lambda(\hat{ i }+ a \hat{ j }-\hat{ k })\) \(\overrightarrow{ r }=(\hat{ i }+\hat{ j })+\mu(-\hat{ i }+\hat{ j }- ak )\) \(D.R'\)s of plane containing these lines is…
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