A) (0, 4)
B) (0, 8)
C) (6, 2)
D) (6,-2)
Correct Answer: C
Solution :
Since, the centroid divides the join ortnocentre and circumcentre in the ratio 2:1 Let the circumcentre of triangle is \[(\alpha ,\beta ).\] \[\therefore \] \[G(3,3)=G\left( \frac{2\alpha -3}{2+1},\frac{2\beta +5}{2+1} \right)\] \[\Rightarrow \] \[G(3,3)=G\left( \frac{2\alpha -3}{3},\frac{2\beta +5}{3} \right)\] \[\Rightarrow \]\[\frac{2\alpha -3}{3}=3\]and \[\frac{2\beta +5}{3}=3\] \[\Rightarrow \]\[2\alpha -3=9\]and \[2\beta +5=9\] \[\Rightarrow \]\[2\alpha =12\]and \[2\beta =4\] \[\therefore \] \[\alpha =6\]and \[\beta =2\]
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