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Class 11 · Mathematics
→If A = {1, 2, 3} and B = {2, 4, 6}, which ordered pairs in A × B satisfy b = 2a?
Class 11 · Mathematics
→If (A={1,2,3,4,5}) and (B={1,3,5,7}), how many pairs in (A\times B) satisfy (a\le b)?
Class 11 · Mathematics
→If \(n(A)=4\), \(n(B)=5\), and \(n(A\cap B)=2\), what is the value of \(n\big((A\cap B)\times(A\cup B)\big)\)?
Class 11 · Mathematics
→If \(A=\{1,2,3\}\) and \(B=\{4,5\}\), how many elements does \(\mathcal{P}(A\times B)\) contain?
Class 11 · Mathematics
→If (A\times B=\varnothing), which statement is always true?
Class 11 · Mathematics
→If (A={1,2}), (B={3,4}), and (C={5}), then (A\times(B\cup C)) equals which expression?
Class 11 · Mathematics
→If (A={x\in\mathbb{Z}:-2\le x\le2}) and (B={y\in\mathbb{Z}:y^2=4}), how many pairs in (A\times B) satisfy (x+y=0)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={3,4,5}), how many pairs are in ((A\times B)\setminus(B\times A))?
Class 11 · Mathematics
→If (A={2,3,5}) and (B={4,6,9,10}), how many pairs in (A\times B) satisfy (\gcd(a,b)=1)?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={1,2,3,4}), how many pairs in (A\times B) satisfy (a<b)?
Class 11 · Mathematics
→If (A={0,1,2}) and (B={-1,0,1}), how many pairs in (A\times B) satisfy (ab=0)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={2,4,6}), how many pairs in (A\times B) satisfy (a\mid b)?
Class 11 · Mathematics
→If (A={x:x\in\mathbb{N},x\le 5}) and (B={y:y\in\mathbb{N},y\text{ is prime},y<10}), how many pairs in (A\times B) have (a+b) even?
Class 11 · Mathematics
→If (A={1,2}) and (B={2,3}), what is (A\times B\cap B\times A)?
Class 11 · Mathematics
→Under which condition is (A\times B=B\times A) definitely true?
Class 11 · Mathematics
→If (A) has (m) elements and (B) has (n) elements and (n(A\times B)=n(B\times A)), choose the correct statement.
Class 11 · Mathematics
→If (A={a,b,c}), (B={1,2}), and (C={p,q,r,s}), what is (n((A\times B)\times C))?
Class 11 · Mathematics
→If (A\times B={(1,2),(1,3),(4,2),(4,3)}), what are (A) and (B)?
Class 12 · Mathematics
→If \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(R=\{(x,y)\in A\times B:y=x+2\}\), what is \(R\)?
Class 11 · Mathematics
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