If the circumcenter of an acute-angled t...

If the circumcenter of an acute-angled triangle lies at the origin and the centroid is the middle point of the line joining the points `(a^2+1,a^2+1)` and `(2a ,-2a),` then find the orthocentre.

`y-2ax=0`

`y-(a^2+ 1)x= 0`

`y+x=0`

`(a-1)^2x-(a+ 1)^2 y =0`

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