Difficulty: Easy
Correct Answer: Set of all concentric circles
Explanation:
Introduction / Context:
An infinite set has no finite bound on its elements. Geometric constructions often yield infinite families (e.g., circles with the same center and varying radii).
Given Data / Assumptions:
Concept / Approach:
Check whether there is a natural limiting count. Concentric circles admit unboundedly many radii.
Step-by-Step Solution:
(a) = {2} → finite(b) Finite by geography(c) Infinite family by any distinct positive radius
Verification / Alternative check:
Between any two radii, more radii exist (continuum), reinforcing infinitude.
Why Other Options Are Wrong:
They are finite sets by definition or context.
Common Pitfalls:
Misinterpreting 'even prime' as many primes; there is only one even prime.
Final Answer:
Set of all concentric circles
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