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Class 12 · Mathematics

If (A={1,2,3}) and (R) is a reflexive relation, what is the minimum number of ordered pairs in (R)?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). Which failure prevents it from being an equivalence relation?

Class 12 · Mathematics

On (A={1,2,3,4}), (aRb) if and only if (a+b) is odd. What type of relation is it?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (aRb) if and only if both (a) and (b) are odd. Choose the correct statement.

Class 12 · Mathematics

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

Class 12 · Mathematics

For (A={1,2,3,4}), the identity relation (I={(1,1),(2,2),(3,3),(4,4)}) is given. Choose the correct statement.

Class 12 · Mathematics

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

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):a+b=5}). What type of relation is it?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):a+b) is even(}). Choose the correct answer.

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). What type of relation is it?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). What is the correct statement?

Class 12 · Mathematics

On real numbers, (aRb) if and only if (a<b). What type of relation is it?

Class 12 · Mathematics

On real numbers, (aRb) if and only if (a\le b). Choose the correct statement.

Class 12 · Mathematics

On the set of integers (Z), (aRb) if and only if (a \equiv b \pmod{3}). What type of relation is it?

Class 12 · Mathematics

On (A={1,2,3,4}), consider (R={(a,b):a-b) is even(}). Choose the correct type.

Class 12 · Mathematics

For a non-empty set (A), choose the correct statement about the universal relation (A\times A).

Class 12 · Mathematics

For the empty relation (\varnothing) on (A={1,2,3}), which statement is correct?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,3),(1,3)}). What type of relation is it?

Class 12 · Mathematics

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

Class 12 · Mathematics

On the set (A={1,2,3,4}), the relation (R={(a,b):a) divides (b) exactly(}) is given. What type of relation is it?