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FAQs on Past Year Paper, Maths(Set - 1), 2016, Class 11, Mathematics - Mathematics (Maths) Class 11 - Commerce

1. What are the different types of sets in mathematics?
Ans. In mathematics, there are several types of sets, including finite sets, infinite sets, equal sets, equivalent sets, and empty sets. Finite sets are those sets that have a specific number of elements, while infinite sets have an infinite number of elements. Equal sets have the same elements, and equivalent sets have the same cardinality. An empty set is a set with no elements.
2. What is the difference between a subset and a proper subset?
Ans. In set theory, a subset is a set that contains all the elements of another set, including itself. On the other hand, a proper subset is a subset that does not include all the elements of the original set. In other words, a proper subset is a subset that is not equal to the original set.
3. How do you determine the cardinality of a set?
Ans. The cardinality of a set is determined by counting the number of elements in the set. For example, if a set A = {1, 2, 3, 4}, then the cardinality of set A is 4. The cardinality is denoted by the symbol "|A|" or "n(A)".
4. What is the intersection of two sets?
Ans. The intersection of two sets is the set of elements that are common to both sets. It is denoted by the symbol "∩". For example, if set A = {1, 2, 3} and set B = {2, 3, 4}, then the intersection of set A and set B is {2, 3}.
5. How do you find the union of two sets?
Ans. The union of two sets is the set that contains all the elements from both sets, without any repetition. It is denoted by the symbol "∪". For example, if set A = {1, 2, 3} and set B = {3, 4, 5}, then the union of set A and set B is {1, 2, 3, 4, 5}.
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