Difference between revisions of "2013 AMC 12B Problems/Problem 6"
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<math>\textbf{(A)}\ 1 \qquad \textbf{(B)}\ 2 \qquad \textbf{(C)}\ 3 \qquad \textbf{(D)}\ 6 \qquad \textbf{(E)}\ 8</math> | <math>\textbf{(A)}\ 1 \qquad \textbf{(B)}\ 2 \qquad \textbf{(C)}\ 3 \qquad \textbf{(D)}\ 6 \qquad \textbf{(E)}\ 8</math> | ||
| − | + | The answer is 2. This problem can be solved by noticing that this is the equation of a circle with radius of 0. When put into vertex form, the one point that satisfies this equation is the center of the circle. | |
Revision as of 09:12, 15 June 2019
- The following problem is from both the 2013 AMC 12B #6 and 2013 AMC 10B #11, so both problems redirect to this page.
Problem
Real numbers 
and 
satisfy the equation 
. What is 
?
The answer is 2. This problem can be solved by noticing that this is the equation of a circle with radius of 0. When put into vertex form, the one point that satisfies this equation is the center of the circle.
