Show that the orthocentre of DeltaABC ha...

Show that the orthocentre of `DeltaABC` having vertices `A(x_1, y_1), B(x_2, y_2), C(x_3, y_3)` is : `(x_1 tan A + x_2 tan B + x_3 tan C)/(tan A + tan B + tan C) , (y_1 tan A + y_2 tan B + y_3 tan C)/(tan A + tan B + tan C))`

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