Let $H$ be the set of all houses in a village where each house is faced in one of the directions, East, West, North, South. Let $R = \{ (x,y)|(x,y) \in H \times H$ and $x, y$ are faced in same direction $\}$ . Then the relation $' R '$ is

  • A

    non symmetric

  • B

    only reflexive and symmetric

  • C

    non reflexive

  • D

    an equivalence relation

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