A) 12
B) 50
C) \[5\sqrt{2}\]
D) \[3\sqrt{2}\]
Correct Answer: C
Solution :
Let d be the length of line, then projection on x-axis = \[dl=3\], projection on y-axis = \[dm=4\]and projection on z-axis = \[dn=5\]. Now, \[{{d}^{2}}({{l}^{2}}+{{m}^{2}}+{{n}^{2}})=50\Rightarrow {{d}^{2}}(1)=50\Rightarrow d=5\sqrt{2}\].
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