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Class 12 · Mathematics · Medium

If relation (R) is symmetric and ((4,5)\in R), which conclusion is correct?

Class 12 · Mathematics · Medium

Why is the relation (R={(1,2),(2,1),(2,3)}) not symmetric?

Class 12 · Mathematics · Medium

If a relation (R) contains ((2,3)) and symmetry is required, which pair must be present?

Class 12 · Mathematics · Medium

Choose the correct statement about the empty relation on (A={1,2,3}).

Class 12 · Mathematics · Easy

If a relation contains ((1,2)) but not ((2,1)), what can it definitely not be?

Class 12 · Mathematics · Easy

On (A={1,2,3}), which pair must be added to make (R={(1,2),(2,3)}) symmetric?

Class 12 · Mathematics · Easy

Is the identity relation antisymmetric?

Class 12 · Mathematics · Easy

Is the universal relation on (A={1,2}) antisymmetric?

Class 12 · Mathematics · Easy

On real numbers, (aRb) iff (a\ne b). Which property does it have?

Class 12 · Mathematics · Easy

On natural numbers, (aRb) iff (a\le b). Why is it not symmetric?

Class 12 · Mathematics · Easy

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

Class 12 · Mathematics · Easy

Which property does the empty relation surely have on a non-empty set?

Class 12 · Mathematics · Easy

If a relation is reflexive and transitive but not antisymmetric, is it a partial order relation?

Class 12 · Mathematics · Easy

If a relation is reflexive and symmetric but not transitive, is it an equivalence relation?

Class 12 · Mathematics · Easy

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

Class 12 · Mathematics · Easy

On A={1,2}, which property is satisfied by R={(1,1),(1,2),(2,1)}?

Class 12 · Mathematics · Easy

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

Class 12 · Mathematics · Easy

If (R) is symmetric and ((5,8)\in R), which pair must also be present?

Class 12 · Mathematics · Easy

Let A={1,2,3}. Which of the following relations on A is symmetric but not reflexive?

Class 12 · Mathematics · Easy

On (A={1,2,3}), which property is definitely satisfied by (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)})?