Difference between revisions of "2023 AMC 12B Problems/Problem 10"
(→Solution) |
|||
| Line 8: | Line 8: | ||
~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com) | ~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com) | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC12 box|year=2023|ab=B|num-b=9|num-a=11}} | ||
| + | {{MAA Notice}} | ||
Revision as of 19:27, 15 November 2023
Solution
The center of the first circle is 
.
The center of the second circle is 
.
Thus, the slope of the line that passes through these two centers is 
.
Because this line is the perpendicular bisector of the line that passes through two intersecting points of two circles, the slope of the latter line is 
.
~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com)
See Also
| 2023 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 9 |
Followed by Problem 11 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
