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Class 12 · Mathematics

Which relation on (A={1,2,3}) is both reflexive and the identity relation?

Class 12 · Mathematics

If a relation on (A={1,2,3,4}) has only ((1,1),(2,2),(3,3),(4,4)), what is it called?

Class 12 · Mathematics

On (A={0,1,2}), (R={(1,1),(2,2)}). Which pair should be added to make (R) reflexive?

Class 12 · Mathematics

On (A={0,1,2}), (R={(0,0),(1,1),(2,2),(0,1)}). Is (R) reflexive?

Class 12 · Mathematics

For a reflexive relation (R), what is always true when (a\in A)?

Class 12 · Mathematics

Which option gives only the necessary reflexive pairs on (A={1,2,3})?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (A={1,2,3,4,5}), how many pairs are there in the identity relation?

Class 12 · Mathematics

Which statement is false for a reflexive relation?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,1),(3,2)}). Choose the correct statement.

Class 12 · Mathematics

If a relation (R) contains all ((a,a)) pairs but misses some ((a,b)) pairs, is (R) reflexive?

Class 12 · Mathematics

In a relation, if ((4,4)) is missing and (4\in A), what conclusion follows?

Class 12 · Mathematics

If (R) is reflexive and (A={p,q,r}), which group must be part of (R)?

Class 12 · Mathematics

On (A={1,2,3}), (R={(a,b):|a-b|=0}). What is (R)?

Class 12 · Mathematics

On (A={1,2,3}), (R={(a,b):a+b=4}). Is (R) reflexive?

Class 12 · Mathematics

Let A = {1, 2, 3} and R = {(a, b) : a divides b}. Is R reflexive on A?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):a+b\text{ is odd}}). Is (R) reflexive?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):a-b\text{ is even}}). Is (R) reflexive?

Class 12 · Mathematics

On (A={1,2,3}), (R={(a,b):a<b}). Is (R) reflexive?

Class 12 · Mathematics

On (A={1,2,3}), (R={(a,b):a\le b}). Is (R) reflexive?