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R = {(a, b) :a, bin N तथा a = b^(2)} द्व...

R = {(a, b) :a, b`in` N तथा `a = b^(2)}` द्वारा परिभाषित N से N में, एक सम्बन्ध R है । क्या निम्नलिखित कथन सत्य हैं?
(i) (a, a) `in ` R, सभी `a in N`
(ii) `(a, b) in R` का तात्पर्य है कि `(b, a) in R`,
(iii) `(a, b) in R, (b, c) in R` का तात्पर्य है कि `(a, c) in R`?
प्रत्येक दशा में अपने उत्तर का औचित्य भी बतलाइए।

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