imo class 12 relations and functions

Let A be a set of railway stations in India. A relation R is defined as (x, y) ∈ R if there is a direct train between station x and station y. This relation is always:

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Let A be a set of railway stations in India. A relation R is defined as (x, y) ∈ R if there is a direct train between station x and station y. This relation is always:

  • A. Reflexive
  • B. Symmetric
  • C. Transitive
  • D. Equivalence

Answer: B) Symmetric

Explanation: If there is a direct train from station x to y, the same train runs from y to x, making it symmetric. It isn't necessarily reflexive (a train from a station to itself is trivial) or transitive.

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