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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)?

Class 12 · Mathematics

While checking a symmetric relation, what should be noticed first?

Class 12 · Mathematics

If (R) contains only ((5,5)) and ((7,7)), is (R) symmetric or not?

Class 12 · Mathematics

Which relation is not symmetric?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). What type of relation is it?

Class 12 · Mathematics

If (R={(a,b):a-b\text{ is even}}), why is (R) symmetric?

Class 12 · Mathematics

Is the relation (R={(1,1),(1,2),(2,1),(2,3),(3,2)}) symmetric or not?

Class 12 · Mathematics

Which relation on (A={1,2,3}) is symmetric?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (R) is symmetric and ((10,3) \in R), which ordered pair must definitely be in (R)?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,4),(4,1),(2,2)}) is given. Which statement about (R) is correct?

Class 12 · Mathematics

Which option is the simplest correct example of a symmetric relation?

Class 12 · Mathematics

If (R) is symmetric and ((p,q) \in R), which conclusion is correct?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,1),(1,3)}). Which pair causes a problem while checking symmetry?

Class 12 · Mathematics

What is the symmetry status of (R={(1,2),(2,1),(3,4),(4,3)})?