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Symmetric Difference

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf A Δ B denotes the symmetric difference of A and B, what does (A Δ B)' represent?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf A △ B = (A ∩ B′) ∪ (A′ ∩ B), what is (A △ B)′ equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf \(U=\{1,2,\ldots,10\}\), \(A=\{1,2,3,4\}\), and \(B=\{3,4,5,6\}\), what is \(A'\Delta B'\) equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf A ∪ B = A △ B, where A △ B = (A \ B) ∪ (B \ A), which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A ∩ B = A ∩ C and A \ B = A \ C, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf A △ B = (A \ B) ∪ (B \ A), |A △ B| = 34, and |A ∪ B| = 51, what is |A ∩ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf \(A=\{a,b,c,d\}\) and \(B=\{b,d,e\}\), what is \((A\setminus B)\cup(B\setminus A)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf (A ∪ B) \ (A ∩ B) = ∅, what is true about A and B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf A △ B = (A \ B) ∪ (B \ A), |A| = 21, |B| = 19, and |A ∩ B| = 8, what is |A △ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf A, B, and C are sets and A ∩ B = A ∩ C, which statement is definitely true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Hard MathematicsIf A △ B = (A \ B) ∪ (B \ A), A = {1, 2, 4, 6}, and B = {2, 3, 4, 5}, what is A △ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A △ B is defined as (A \ B) ∪ (B \ A), and n(A ∪ B) = 40 and n(A ∩ B) = 13, what is n(A △ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = {x ∈ R : x ≠ 0} and B = {x ∈ R : x² > 0}, what is A △ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A △ B = (A − B) ∪ (B − A), n(A △ B) = 26, and n(A ∩ B) = 9, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf \(A=\{1,2,3,4,5,6,7,8\}\) and \(B=\{2,4,6,8,10\}\), what is \((A\cup B)-(A\cap B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A △ B = (A − B) ∪ (B − A), where A = {a, b, c, d} and B = {b, d, e, f}, find A △ B.Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {1, 4, 9, 16, 25} and B = {2, 4, 8, 16, 32}, what is (A − B) ∪ (B − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = {1, 2, 3, 4, 5} and B = {2, 4, 6}, what is (A ∪ B) − (A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A=\{x:x\in\mathbb{N},\ x\mid 30\}\) and \(B=\{x:x\in\mathbb{N},\ x\mid 45\}\), what is \((A\cup B)\setminus(A\cap B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {2, 3, 5, 7, 11} and B = {1, 3, 5, 9, 11}, what is (A \ B) ∪ (B \ A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium