1951 AHSME Problem 33

The roots of the equation x^{2}-2x = 0 can be obtained graphically by finding the abscissas of the points of intersection of each of the following pairs of equations except the pair:

\textbf{(A)}\ y = x^{2}, y = 2x\qquad\textbf{(B)}\ y = x^{2}-2x, y = 0\qquad\textbf{(C)}\ y = x, y = x-2\qquad\textbf{(D)}\ y = x^{2}-2x+1, y = 1 \textbf{(E)}\ y = x^{2}-1, y = 2x-1

*[Note: Abscissa means x-coordinate.]*

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.