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For n,m∈N, n | m means that n is a factor of m, the relation I is

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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 51
Let R=x,y:x,y∈A,x+y=5 where A=1,2,3,4,5 then
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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 52
Let R be a relation on a set A such that R=R-1, then R is
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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 53
Let x,y∈I and suppose that a relation R on I is defined by x R y if and only if x≤y then
MEDIUM
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Beta Question Bank for Engineering: Mathematics>Chapter 2 - Set Theory and Relations>EXERCISE-1>Q 54
Let R be a relation from a set A to a set B, then
HARD
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IMPORTANT
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
HARD
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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
HARD
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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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IMPORTANT
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