1994 AHSME Problems/Problem 4
Contents
[hide]Problem
In the -plane, the segment with endpoints and is the diameter of a circle. If the point is on the circle, then
Solution
We see that the center of this circle is at . The radius is . So the equation of this circle is Substituting yields so .
--Solution by TheMaskedMagician
Solution 2
The diameter of the circle is so the radius is and the center of the circle is on the -axis at . The only point with must be the point exactly above the center.
See Also
1994 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
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