1952 AHSME Problems/Problem 8
Problem
Two equal circles in the same plane cannot have the following number of common tangents.
Solution
Two congruent coplanar circles will either be tangent to one another (resulting in common tangents), intersect one another (resulting in common tangents), or be separate from one another (resulting in common tangents). Having only common tangent is impossible, unless the circles are non-congruent and internally tangent.
See also
1952 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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