A) \[(6,2)\]
B) \[(0,8)\]
C) \[(6,-2)\]
D) \[(0,4)\]
Correct Answer: A
Solution :
[a] |
Orthocentre centroid and circumcentre of a triangle are collinear and centroid divides them in the ratio \[2:1\]. |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{2x-3}{3}=3\] and \[\frac{2y+5}{3}=3\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=6,\,\,\,y=2\] |
Hence, circumcentre is \[(6,2)\]. |
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