Statement-1: The sum of algebraic distances from the points $(n,n^2)$, where $n=1,2,3,\mathrm{......2013}$ to a variable straight line is zero and if such a line always passes through the point $(\alpha ,\beta )$ then $\alpha +\beta =1366200$
Statement-2: If sum of algebraic distances from the points $(x_i,y_i)=i=1,2,\mathrm{3........}n$ to a variable straight line is zero then that the line passes through the point $\left(\sum _{i=1}^n{x}_i,\sum _{i=1}^n{y}_i\right)$