Difference between revisions of "2006 AMC 12A Problems/Problem 11"

Line 1: Line 1:
 
== Problem ==
 
== Problem ==
 +
 +
Which of the following describes the graph of the equation <math>(x+y)^2=x^2+y^2</math>?
 +
 +
<math> \mathrm{(A) \ } \;\mathrm{the\; empty\; set}\;\qquad \mathrm{(B) \ } \;\mathrm{one\; point}</math><math>\mathrm{(C) \ } \;\mathrm{two\; lines}\;\qquad \mathrm{(D) \ } \;\mathrm{a\; circle}</math><math>\mathrm{(E) \ } \;\mathrm{the\; entire \; plane}\;</math>
  
 
== Solution ==
 
== Solution ==

Revision as of 22:48, 10 July 2006

Problem

Which of the following describes the graph of the equation $(x+y)^2=x^2+y^2$?

$\mathrm{(A) \ } \;\mathrm{the\; empty\; set}\;\qquad \mathrm{(B) \ } \;\mathrm{one\; point}$$\mathrm{(C) \ } \;\mathrm{two\; lines}\;\qquad \mathrm{(D) \ } \;\mathrm{a\; circle}$$\mathrm{(E) \ } \;\mathrm{the\; entire \; plane}\;$

Solution

See also