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The orhtcentre and the centroid of Delta...

The orhtcentre and the centroid of `Delta ABC` are `(5,8)` and `(3,14/3)` respectively. The equation of the side BC is x-y=0 , Given that the image of the orthocentre of a triangle with respect to any side lies on the circumcircle of that triangle, then the diameter of the circumcircle of `Delta ABC` is

A

`sqrt(10)`

B

`2sqrt(10)`

C

`4 sqrt(10)`

D

`8 sqrt(10)`

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The correct Answer is:
C
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