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Q. The oithocentre and the centroid of $\Delta ABC$ are (5.8) and $\left(3 , \frac{14}{3} \right)$ 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

AP EAMCETAP EAMCET 2018

Solution:

Correct answer is (c) $ 4 \sqrt{10}$