A) \[(3,3,3)\]
B) \[(-1,1,-1)\]
C) \[(-1,1,1)\]
D) \[(1,1,1)\]
Correct Answer: D
Solution :
Since, OA is equally inclined to OX, OY and OZ. Let coordinates of A are \[(a,a,a).\] Also, \[OA=\sqrt{3}\] \[\therefore \] \[\sqrt{{{(a-0)}^{2}}+{{(a-0)}^{2}}+{{(a-0)}^{2}}}=\sqrt{3}\] \[\Rightarrow \] \[\sqrt{3{{a}^{2}}}=\sqrt{3}\] \[\Rightarrow \] \[\sqrt{{{a}^{2}}}=1\] \[\Rightarrow \] \[a=\pm 1\] \[\therefore \]Coordinates of A are (1, 1, 1) or \[(-1-1,-1).\]
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