A) \[(9/2,\,\sqrt{3}/2)\]
B) \[(3,\,\sqrt{3})\]
C) \[(\,\sqrt{3},3)\]
D) \[(3,-\sqrt{3})\]
Correct Answer: B
Solution :
Line perpendicular to OA passing through B is \[x=3.\] Slope of \[AB=\frac{3\sqrt{3}-0}{3-6}=-\sqrt{3}\] Line perpendicular to AB through origin is \[y=\frac{1}{\sqrt{3}}x\] \[\therefore \] The point of intersection of a line \[x=3\] and \[y=\frac{1}{\sqrt{3}}x\] is \[(3,\sqrt{3}),\] which is the required orthocenter.You need to login to perform this action.
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