TS EAMCET · Maths · Three Dimensional Geometry
If \(O A\) is equally inclined to \(O X, O Y\) and \(O Z\) and if \(A\) is \(\sqrt{3}\) units from the origin, then \(A\) is :
- A \((3,3,3)\)
- B \((-1,1,-1)\)
- C \((-1,1,1)\)
- D \((1,1,1)\)
Answer & Solution
Correct Answer
(D) \((1,1,1)\)
Step-by-step Solution
Detailed explanation
Since \(O A\) is equally inclined to \(O X, O Y\) and \(O Z\). \(\therefore\) Co-ordinates of \(A\) are \((a, a, a)\). Also \(O A=\sqrt{3}\) \(\therefore \quad \sqrt{(a-0)^2+(a-0)^2+(a-0)^2}=\sqrt{3}\) \(\Rightarrow \quad \sqrt{3 a^2}=\sqrt{3}\) \(\Rightarrow \quad a^2=1\)…
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