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Class 12 · Mathematics

If (R) is symmetric and ((3,5)\in R), which pair must belong to (R)?

Class 12 · Mathematics

In which relation is symmetry automatically satisfied?

Class 12 · Mathematics

If (R={(1,2)}), why is (R) not symmetric?

Class 12 · Mathematics

If (A={1,2}) and (R={(1,2),(2,1)}), then what type is (R)?

Class 12 · Mathematics

What is the correct identification of a symmetric relation?

Class 12 · Mathematics

Which short memory rule best explains a symmetric relation?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Is it symmetric?

Class 12 · Mathematics

If (A={1,2}) and (R=A \times A), which pair will already be present for symmetry because of ((1,2))?

Class 12 · Mathematics

In the relation (R={(1,2),(2,1),(3,3),(4,4)}), how many pairs are equal to their own reverses?

Class 12 · Mathematics

Which statement is false?

Class 12 · Mathematics

If (R={(1,4),(4,1),(2,3)}), what is the minimum number of pairs to be added to make (R) symmetric?

Class 12 · Mathematics

On (A={1,2,3}), (R={(a,b):a=b\text{ or }a+b=4}). What type of relation is (R)?

Class 12 · Mathematics

In a symmetric relation, what is the relation between ((m,n)) and ((n,m))?

Class 12 · Mathematics

On (A={1,2,3}), why is (R={(1,2),(2,1),(2,3),(3,2),(1,3)}) not symmetric?

Class 12 · Mathematics

In the relation (R={(1,2),(2,1),(1,3),(3,1),(2,2)}), which pair is equal to its own reverse?

Class 12 · Mathematics

If (R={(x,y):x) and (y) have the same parity(}), why will (R) be symmetric?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,1),(3,4)}). Which pair is needed to make it symmetric?

Class 12 · Mathematics

Which option shows the necessary condition for a symmetric relation?

Class 12 · Mathematics

If a relation contains ((2,5)) but does not contain ((5,2)), what can that relation not be?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(2,3),(3,2),(3,3)}) is given. What is (R)?