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Class 11 · Mathematics

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

Class 11 · Mathematics

On the set (A={1,2,3,4}), how many ordered pairs are in the relation (R={(a,b):a<b})?

Class 11 · Mathematics

If (R={(2,5),(3,5),(4,6),(5,7)}), what is the range of (R)?

Class 11 · Mathematics

If (R={(1,2),(2,3),(3,4)}), what is the domain of (R)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={a,b}), how many total relations can be formed from (A) to (B)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (R={(a,b):a^2+b^2\leq 10}), which pair is not in (R)?

Class 11 · Mathematics

If A = {1, 2, 3, 4, 5} and R = {(a, b) : a + b is prime}, which ordered pair belongs to R?

Class 11 · Mathematics

If on (A={1,2,3,4}), (R={(a,b):a) and (b) are both odd(}), which is the correct form of (R)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If a relation \(R=\{(a,b):a=b^2\}\) is defined on the set \(A=\{1,2,3,4\}\), which of the following is the correct form of \(R\)?

Class 11 · Mathematics

If a relation \(R=\{(a,b):a+b=6\}\) is defined on \(A=\{1,2,3,4\}\), how many ordered pairs does \(R\) contain?

Class 11 · Mathematics

If (R={(1,2),(1,3),(2,3)}), what are the domain and range respectively?

Class 11 · Mathematics

If (A={1,2,3}) and (B={a,b}), a relation formed from (A\times B) will be a subset of what?

Class 11 · Mathematics

If (A={1,2,3,4,5}) and (R={(a,b):|a-b|\leq 2}), which pair is in (R)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3),(1,3),(3,1)\}\), what is the inverse relation \(R^{-1}\) of \(R\)?

Class 11 · Mathematics

If on (A={2,4,6}), (aRb) if (a-b) is divisible by (2), what kind of relation is (R)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (R={(x,y):x\leq y}), which properties does (R) have?

Class 11 · Mathematics

If A = {1, 2, 3, 4} and R = {(x, y) : x + y = 5}, which property does R have?

Class 11 · Mathematics

When is a relation (R) called transitive?