Let \( r \) be a relation over the set \( N \times N \) and it is d...

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Let \( r \) be a relation over the set \( N \times N \) and it is defined by \( (a, b) r(c, d)=a+d=b+c \). Then \( r \) is
(a) reflexive only
(b) symmetric only
\( \mathrm{P} \)
(c) transitive only
(d) an equivalence relation
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