AMC 10 Step by Step
Log inSign up
Printable

2013 AMC 10B Problem 14

Include the solutionBack to the problem
2013 AMC 10B Problem 14AMC 10 Step by Step
Name:                             Date: October 28, 2026
Algebraic Manipulation · difficulty 2 of 5 · about 3 min · position P11-15

Define a♣b=a2b−ab2a\clubsuit b=a^2b-ab^2 . Which of the following describes the set of points (x,y)(x, y) for which x♣y=y♣xx\clubsuit y=y\clubsuit x ?

  1. A)a finite set of points\text{a finite set of points}
  2. B)one line\text{one line}
  3. C)two parallel lines\text{two parallel lines}
  4. D)two intersecting lines\text{two intersecting lines}
  5. E)three lines\text{three lines}

Working