Problem: The roots of the equation x2−2x=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:
Answer Choices:
A. y=x2,y=2x
B. y=x2−2x,y=0
C. y=x,y=x−2
D. y=x2−2x+1,y=1
E. y=x2−1,y=2x−1
Solution:
(x2−2x=0)↔(x2=2x)​↔(x2−2x+1=1)↔(x2−1=2x−1).​
∴(C) is the correct choice.