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Class 11 · Mathematics

On the set (A={1,2,3}), if (R=A\times A), what type of relation is (R)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If (n(A)=5) and (n(B)=3), how many non-empty relations are possible from (A) to (B)?

Class 11 · Mathematics

Which statement gives the correct definition of a relation?

Class 11 · Mathematics

If (A={1,2,3,4}) and (R={(x,y):y=x+1}), which pair will not appear in (R)?

Class 11 · Mathematics

If (A={1,2,3}) and (R={(a,b):a+b=4}), what is (R)?

Class 11 · Mathematics

If (R={(1,3),(2,5),(4,9)}), which is (R^{-1})?

Class 11 · Mathematics

If (R={(2,1),(2,3),(4,3),(5,7)}), what is the range of (R)?

Class 11 · Mathematics

If \(R=\{(1,2),(2,4),(3,6)\}\), what is the domain of \(R\)?

Class 11 · Mathematics

On (A={1,2,3,4,5}), (aRb) if (a) divides (b). Which pair is not in (R)?

Class 11 · Mathematics

If a relation \(R\) on the set \(A=\{1,2,3,4\}\) is defined by \(aRb\) if and only if \(a-b\) is even, which of the following ordered pairs belongs to \(R\)?

Class 11 · Mathematics

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

Class 11 · Mathematics

On the set (A={1,2,3}), what property is shown by (R={(1,2),(2,3),(1,3)})?

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 R={(a,b): a,b∈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?