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Let R be a relation from a set A to a set B, then

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Important Questions on Set Theory and Relations

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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 55
Given that relation R=1,2,2,3 on the set 1,2,3, the minimum number of ordered pairs which when added to R make it an equivalence relation is
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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 56
Let P=x, y∣x2+y2=1, x, y∈R. Then P is
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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 57
Let X be a family of sets and R be a relation on X defined by 'A is disjoint from B'. Then R is
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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 58
In order that a relation R defined on a non-empty set A is an equivalence relation, it is sufficient, if R
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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 59
If R be a relation '<' from A=1,2,3,4 to B=1,3,5 i.e. a,b∈R iff a<b, then ROR-1 is
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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 60
If R ia an equivalence relation in a set A, then R-1 is
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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 61
Let R and S be two equivalence relations in a set A. Then
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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 62
Let A={p, q, r}. Which of the following is an equivalence relation on A?