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Class 11 · Mathematics

If (A\times B=\varnothing) and (A={1,2,3}), which statement about (B) is correct?

Class 11 · Mathematics

If (A={1,2}) and (A\times B={(1,a),(1,b),(2,a),(2,b)}), what is (B)?

Class 11 · Mathematics

If A = {1, 2, 3}, B = {2, 3, 4}, which among (2, 2), (3, 4), and (4, 3) is not in A × B?

Class 11 · Mathematics

If (A={1,2,3}) and (B={4,5}), how many non-empty subsets does (A\times B) have?

Class 11 · Mathematics

If (A={1,2}) and (B={x,y,z}), how many relations from (A) to (B) are possible?

Class 11 · Mathematics

If (A) has (m) elements and (B) has (n) elements, how many subsets does (A\times B) have?

Class 11 · Mathematics

If A={1,2,3} and |A×B|=12, what is the value of |B|?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={1,2,3}), how many pairs ((a,b)) in (A\times B) have (a>b)?

Class 11 · Mathematics

If \(A=\{-1,0,1\}\) and \(B=\{0,1\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(x^2=y\)?

Class 11 · Mathematics

If A = {1, 2, 3} and B = {4, 5}, what is the subset R = {(x, y): x + y = 7} of A × B?

Class 11 · Mathematics

If (A={1,2}), (B={3}), and (C={4,5,6}), what is (|(A\times B)\times C|)?

Class 11 · Mathematics

If (A={1,2}), (B={2,3}), and (A\times B\ne B\times A), what is the main reason?

Class 11 · Mathematics

If (A={p,q}) and (B={r,s}), which is (B\times A)?

Class 11 · Mathematics

If A = {0, 1} and B = {2, 4, 6}, what is the value of |A × B|?

Class 11 · Mathematics

If A = {1, 2, 3} and B = {a, b}, which ordered pair in A × B has first component 3 and second component b?

Class 11 · Mathematics

If A = {1, 2, 3}, B = {2, 3, 4}, and C = {3, 4, 5}, how many elements are in A × ((B ∪ C) − A)?

Class 11 · Mathematics

If (A={1,2,3}), (B={2,3,4}) and (C={0,3}), which pair belongs to ((A\cap B)\times C)?

Class 11 · Mathematics

If (A={1,2,3,4,5}) and (B={0,1}), how many pairs ((x,y)) in (A\times B) have (x) prime?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={2,4,6}), how many pairs ((x,y)) in (A\times B) have (y) even?

Class 11 · Mathematics

If \(A=\{1,2\}\) and \(B=\{2,5\}\), what is the set of sums of the components of all ordered pairs in \(A \times B\)?