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Class 11 · Mathematics

A relation R on a set A is called reflexive if which of the following condition is true?

Class 11 · Mathematics

If (A={1,2,3}) and (R={(a,b):a+b) is odd(}), which pair is not in (R)?

Class 11 · Mathematics

If (R={(a,b):a) and (b) have same parity(}), which pair is in (R)?

Class 11 · Mathematics

If (A={1,2,3,4,5}) and (R={(a,b):a) is one less than (b}), which pair is correct?

Class 11 · Mathematics

If (R={(1,1),(2,2)}), why is (R) symmetric?

Class 11 · Mathematics

If (A={1,2}) and (R=A\times A), is (R) transitive?

Class 11 · Mathematics

If (A={1,2}) and (R=A\times A), is (R) symmetric?

Class 11 · Mathematics

If (A={1,2}) and (R=A\times A), is (R) reflexive?

Class 11 · Mathematics

If (A={1,2}) and (R=\varnothing), is (R) reflexive?

Class 11 · Mathematics

If (A={1,2,3}) and (R=\varnothing), is (R) symmetric?

Class 11 · Mathematics

If (A={1,2,3}), what is the identity relation (I_A)?

Class 11 · Mathematics

If (R={(x,y):x=y+1}), which ordered pair will be in (R)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (R={(a,b):a\le b}), which pair is not in (R)?

Class 11 · Mathematics

If (A={1,2,3}) and (R={(a,b):a+b=5}), how many pairs are in (R)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (R={(a,b):b=a+1}), which pair is in (R)?

Class 11 · Mathematics

If (R={(1,1),(1,2),(2,2)}), which pair is needed from ( (1,2) ) and ( (2,2) ) in transitive check?

Class 11 · Mathematics

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

Class 11 · Mathematics

If A = {1, 2, 3} and R = {(1,1), (2,2), (3,3), (1,2), (2,1)}, is R a reflexive relation on A?

Class 11 · Mathematics

If (A={1,2}), which pairs are compulsory in a reflexive relation on (A)?

Class 11 · Mathematics

If (R={(1,2),(2,1),(2,3),(3,2)}), which reverse pair is present with ( (2,3) )?