A) \[45{}^\circ \]
B) \[90{}^\circ \]
C) \[60{}^\circ \]
D) \[30{}^\circ \]
Correct Answer: B
Solution :
[b] Let \[O\equiv (0,0)\] be the origin. |
\[\therefore \,\,\,\,\,\,\,\,\,\,\,OA=\sqrt{{{(3-0)}^{2}}+{{(0-0)}^{2}}}=3\] |
\[OB=\sqrt{{{(0-0)}^{2}}+{{(0+2)}^{2}}}=2\] |
and \[AB=\sqrt{{{(3-0)}^{2}}+{{(0+2)}^{2}}}=\sqrt{9+4}=\sqrt{13}\] |
\[A{{B}^{2}}=O{{A}^{2}}+O{{B}^{2}}\] |
\[\therefore \] AB subtend right angle at origin. |
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