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KCET2010MathematicsSets and Relations

Let R be an equivalence relation defined on a set containing 6 elements. The minimum number or ordered pairs that R should contain is

Options

  1. A12
  2. B6
  3. C64
  4. D36

Correct answer

B. 6

Step-by-step solution

Given that, R equivalence relation on a set A Let A = a , b , c , d , e , f Since, R is an equivalence relation on set A , then it must be satisfies reflexive property, for this. aRa , a A That mean minimum number of elements in ' R ' should be six e g, R = ( a , a ),( b , b ),( c , c ),( d , d )(e, e),(f, f)

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