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Class 11 · Mathematics
→If A={a,b}, which one is the empty relation on A?
Class 11 · Mathematics
→If \(A=\{1,2\}\) and \(B=\{3,4\}\), which is the largest relation from \(A\) to \(B\)?
Class 11 · Mathematics
→If \(A=\{1,2,3\}\), how many ordered pairs are there in \(A\times A\)?
Class 11 · Mathematics
→If \(A=\{1,2,3\}\) and \(R=\{(a,b)\in A\times A: a=b\}\), then what type of relation is \(R\)?
Class 11 · Mathematics
→If (A={1,2,3}), (B={1,2,3,4}), and (C={(a,b)\in A\times B:\operatorname{lcm}(a,b)=6}), which is (C)?
Class 11 · Mathematics
→If (A={1,2,3,4}), (B={2,3,4,5}), and (T={(a,b)\in A\times B:a^2-b\le3}), what is (n(T))?
Class 11 · Mathematics
→If (A={x\in\mathbb{Z}:|x-2|\le2}) and (B={y\in\mathbb{N}:y^2-5y+6=0}), how many ordered pairs in (A\times B) have (x+y) prime?
Class 11 · Mathematics
→If (A={1,2,3,4}), (B={1,2,3}), and (S={(a,b)\in A\times B:a+b\ge5}), what is (n(S))?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={1,2,3,4}), how many pairs in (A\times B) make (b-a) a positive even number?
Class 11 · Mathematics
→If (A={1,2,3}), (B={2,3,4}), and (C={3,4,5}), what is ((A\times B)\cap(A\times C)) equal to?
Class 11 · Mathematics
→If A = {1, 2, 3, 4} and B = {1, 2, 3, 4}, how many ordered pairs (a, b) in A × B satisfy |a − b| = 2?
Class 11 · Mathematics
→If A={0,1,2} and B={1,2,3}, how many ordered pairs \((a,b)\) in the Cartesian product \(A\times B\) satisfy \(a^b=1\)?
Class 11 · Mathematics
→Let A and B be two non-empty sets. Which of the following statement about their Cartesian products is always true?
Class 11 · Mathematics
→If \(A=\{1,3,5\}\) and \(B=\{2,4,6\}\), what will \(a+b\) always be for every \((a,b)\in A\times B\)?
Class 11 · Mathematics
→If (A={2,3,4}) and (B={5,6,7,8}), how many pairs in (A\times B) have (a+b) even?
Class 11 · Mathematics
→If A={1,2,3} and B={3,6,9,12}, how many ordered pairs (a,b) in A×B have b as a multiple of a?
Class 11 · Mathematics
→If A={1,2,3,4} and B={1,2,3}, how many ordered pairs in the Cartesian product A×B satisfy a+b≤5?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={2,3,5}), how many pairs in (A\times B) have (a+b) as a prime number?
Class 11 · Mathematics
→If \(A=\{1,2,3,4\}\) and \(B=\{1,4,9,16\}\), how many ordered pairs \((a,b)\) in \(A \times B\) satisfy \(b>a\)?
Class 11 · Mathematics
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