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Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations

Class 12 Maths · Relations And Functions · Mcq Single Correct #43

Let \(\mathbb{N}\) denote the natural numbers and \(R\) be the relation on \(\mathbb{N}\times\mathbb{N}\) defined by \((a,b)R(c,d)\) if \(ad(b+c)=bc(a+d)\). Then \(R\) is

✅ Step-by-Step Solution

Final Answer: Option (D): An equivalence relation
  1. For positive natural numbers, divide by \(abcd\) to obtain \(1/a-1/b=1/c-1/d\). The relation is equality of the value \(h(a,b)=1/a-1/b\), and is therefore an equivalence relation.

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