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Class 11 · Mathematics

If (A={1,2,3}) and (R={(1,2),(2,1),(2,3),(3,2)}), which property does (R) satisfy?

Class 11 · Mathematics

On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2)}) must satisfy which property?

Class 11 · Mathematics

If (A={1,2,3,4}) and (R={(x,y):x<y}), how many ordered pairs are in (R)?

Class 11 · Mathematics

If (A={a,b,c,d}), how many total relations are possible on (A)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={4,5}), how many total relations can be formed from (A) to (B)?

Class 11 · Mathematics

If (A={1,2,3,4}) and the relation is (R={(a,b):a,b\in A,\ a+2=b}), what is the domain of (R)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (R={(a,b):a\ge b}), which statement about (R) is correct?

Class 11 · Mathematics

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

Class 11 · Mathematics

If (R) is antisymmetric and ((3,5)\in R), which conclusion is correct?

Class 11 · Mathematics

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

Class 11 · Mathematics

If \(R=\{(a,b):a,b\in\{1,2,3,4\},\ ab=4\}\), which of the following ordered pairs belongs to \(R\)?

Class 11 · Mathematics

If A = {1, 2, 3} and B = {4, 5, 6}, how many ordered pairs are in R = {(a, b) : b = a + 3}?

Class 11 · Mathematics

If (R\subseteq A\times B) and (|A|=2,\ |B|=5), what is the maximum number of ordered pairs in (R)?

Class 11 · Mathematics

If the range of a relation is \({p,q}\) and its codomain is \({p,q,r}\), which of the following statements is correct?

Class 11 · Mathematics

If A={1,2,3}, B={x,y}, and R={(1,x),(3,y)}, what is the codomain of R?

Class 11 · Mathematics

If the relation \(R=\{(1,2),(2,3),(1,3)\}\), what is the range of \(R\)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If (R={(1,2),(2,1),(1,1)}) is on (A={1,2}), which pair should be added to make (R) reflexive?

Class 11 · Mathematics

If (A={1,2,3,4,5}) and (R={(a,b):|a-b|=1}), what is the correct property of (R)?

Class 11 · Mathematics

If \(A=\{1,2,3,4\}\) and \(R=\{(a,b)\in A\times A:a+b\le 5\}\), which statement is correct about the ordered pair \((4,2)\)?