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Class 12 · Mathematics

On (A={1,2,3,4}), what type is (R={(a,b):a+b\le 5})?

Class 12 · Mathematics

On (A={1,2,3,4}), what type is (R={(a,b):a\ne b})?

Class 12 · Mathematics

If (R) is symmetric and ((3,3)\in R), which extra pair is required because of ((3,3))?

Class 12 · Mathematics

Which option correctly shows a symmetric relation in matrix form?

Class 12 · Mathematics

If (R={(1,1),(2,2),(3,3),(1,2),(2,1)}), what type is (R) on (A={1,2,3})?

Class 12 · Mathematics

For (R={(1,2),(2,1),(1,3),(3,1)}) on (A={1,2,3}), which statement is correct?

Class 12 · Mathematics

If (R) is symmetric, which of the following statements is not always true?

Class 12 · Mathematics

Which option gives a rule that will not form a symmetric relation?

Class 12 · Mathematics

If (R) is symmetric and contains ((a,b)) where (a\ne b), which minimum pair must also be present to maintain symmetry?

Class 12 · Mathematics

If relation (R) is symmetric and transitive, and ((1,2)\in R), ((2,1)\in R), which pair can be obtained by transitivity?

Class 12 · Mathematics

Which relation has symmetry but does not necessarily contain ((a,a)) for every element?

Class 12 · Mathematics

On (A={1,2,3,4}), why is (R={(a,b):a\text{ divides }b}) not symmetric?

Class 12 · Mathematics

On (A={1,2,3,4,5,6}), which statement is correct for (R={(a,b):a\text{ and }b\text{ are both even}})?

Class 12 · Mathematics

On (A={1,2,3,4}), what type is the relation (R={(a,b):\gcd(a,b)=1})?

Class 12 · Mathematics

In which option will (R^{-1}=R) be true?

Class 12 · Mathematics

If (R={(1,2),(2,1),(2,3),(3,2),(3,4),(4,3)}), what is (R^{-1})?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (R) is symmetric and (R) contains ((2,5)) and ((4,6)), which group of pairs must be in (R)?

Class 12 · Mathematics

On (A={1,2,3,4}), what is the correct conclusion for (R={(a,b):|a-b|\le 1})?

Class 12 · Mathematics

On (A={1,2,3,4}), is (R={(a,b):a-b=2}) symmetric or not?