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Class 12 · Mathematics

Which relation is always transitive on every set?

Class 12 · Mathematics

Which relation is always reflexive on every set?

Class 12 · Mathematics

Which relation is always symmetric on every set?

Class 12 · Mathematics

If (A) has (4) elements, how many pairs are in the universal relation?

Class 12 · Mathematics

If (A) has (4) elements, how many pairs are in the identity relation?

Class 12 · Mathematics

How many pairs are there in the universal relation on (A={1,2,3})?

Class 12 · Mathematics

How many pairs are there in the identity relation on (A={1,2,3})?

Class 12 · Mathematics

Is the empty relation transitive on a non-empty set?

Class 12 · Mathematics

Is the empty relation symmetric on a non-empty set?

Class 12 · Mathematics

Is the empty relation reflexive on a non-empty set?

Class 12 · Mathematics

Is the universal relation (A\times A) on (A={1,2,3}) an equivalence relation?

Class 12 · Mathematics

Is (R={(1,1),(2,2),(3,3)}) an equivalence relation on (A={1,2,3})?

Class 12 · Mathematics

On natural numbers, (aRb) iff (a\le b). What type of relation is it generally considered?

Class 12 · Mathematics

On integers, (aRb) iff (a-b) is divisible by (2). What type of relation is it?

Class 12 · Mathematics

On real numbers, (aRb) iff (a=b). Which relation is this?

Class 12 · Mathematics

Why is (R={(1,2),(2,3)}) not transitive on (A={1,2,3})?

Class 12 · Mathematics

Why is (R={(1,2),(2,3)}) not symmetric on (A={1,2,3})?

Class 12 · Mathematics

Why is (R={(1,2),(2,1)}) not reflexive on (A={1,2,3})?

Class 12 · Mathematics

On (A={1,2,3}), which property does (R={(1,2),(2,3),(1,3)}) satisfy?

Class 12 · Mathematics

On (A={1,2,3}), which property does (R={(1,2),(2,1),(2,3),(3,2)}) satisfy?