A) \[r=(\hat{i}+\hat{j})+\lambda (\hat{i}+2\hat{j}-\hat{k})\]
B) \[r=(\hat{i}+\hat{j})+\mu (-\hat{i}+\hat{j}-2\hat{k}),\]
C) \[r.(2\hat{i}+\hat{j}-3\hat{k})=-4\]
D) \[r\times (-\hat{i}+\hat{j}+\hat{k})=0\]
Correct Answer: A
Solution :
\[\sqrt{2}{{\sin }^{-1}}\left\{ \frac{\sqrt{2}x}{{{x}^{2}}+1} \right\}+C\] \[\frac{1}{\sqrt{2}}{{\sin }^{-1}}\left\{ \frac{\sqrt{2}x}{{{x}^{2}}+1} \right\}+C\]
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