A) 6
B) \[3\sqrt{2}\]
C) \[2\sqrt{3}\]
D) None of these
Correct Answer: B
Solution :
Let \[P\,(x,\,y,\,z).\] Now under given condition, we get \[{{\left[ \sqrt{({{x}^{2}}+{{y}^{2}})} \right]}^{2}}+{{\left[ \sqrt{({{y}^{2}}+{{z}^{2}})} \right]}^{2}}+{{\left[ \sqrt{({{z}^{2}}+{{x}^{2}})} \right]}^{2}}=36\] \[\Rightarrow \,\,{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=18\] Then distance from origin to the point (x, y, z) is \[\sqrt{{{x}^{2}}+{{y}^{2}}+{{z}^{2}}}=\sqrt{18}=3\sqrt{2}\].
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