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Class 12 · Mathematics

On non-zero real numbers, (aRb) means (ab>0). What type of relation is this?

Class 12 · Mathematics

On real numbers, (aRb) means (a^2=b^2). What type of relation is this?

Class 12 · Mathematics

On integers, (aRb) means (|a|=|b|). What type of relation is this?

Class 12 · Mathematics

On integers, (aRb) means (a-b) is divisible by (3). What type of relation is this?

Class 12 · Mathematics

On integers, (aRb) means (a+b) is even. What type of relation is this?

Class 12 · Mathematics

On natural numbers, (aRb) means (a\mid b). Which statement is correct?

Class 12 · Mathematics

On natural numbers, (aRb) means (a<b). Which property is correct?

Class 12 · Mathematics

On natural numbers, (aRb) means (a\le b). Which statement is correct?

Class 12 · Mathematics

On integers, (aRb) means (a-b) is even. What type of relation is this?

Class 12 · Mathematics

If (A) has (3) elements, what is the number of relations on (A) that are both reflexive and symmetric?

Class 12 · Mathematics

If (A) has (3) elements, what is the number of symmetric relations on (A)?

Class 12 · Mathematics

If (A) has (3) elements, what is the number of reflexive relations on (A)?

Class 12 · Mathematics

If (A) has (3) elements and (B) has (2) elements, what is the total number of relations from (A) to (B)?

Class 12 · Mathematics

In which relation is every element related to itself and no element is left out?

Class 12 · Mathematics

If (A) has (5) elements, how many pairs are there in (A\times A)?

Class 12 · Mathematics

Which pair will be in the identity relation on (A={2,4})?

Class 12 · Mathematics

If (R\subseteq A\times A), what can (R) be called?

Class 12 · Mathematics

If (A={1,2,3}) and (R=A\times A), what type of relation is (R)?

Class 12 · Mathematics

If (R={(1,1),(2,2),(1,2)}), why is it not an equivalence relation?

Class 12 · Mathematics

If (R={(1,1),(2,2),(1,2),(2,1)}), is it an equivalence relation on (A={1,2})?