Mathematics
Power Set and Subsets
घात समुच्चय और उपसमुच्चय
In Class 11 Mathematics, under the chapter Sets, Power Set and Subsets explains subsets, proper subsets, and the power set of a given set. Students learn to identify whether one set is contained in another, list elements of a power set, and count subsets with specified elements or cardinalities.
Practice questions
If A = {∅, {∅}, 1}, which of the following is a subset of A?If A = {1, 2, 3, 4, 5}, how many subsets of A have three or more elements?If A = {x : x is a distinct letter of the English word LEVEL} and B = {L, E, V}, what is the correct conclusion?If A = {x : x ∈ Z and x² ≤ 4}, which subset of A is not proper?If A = {2, 4, 6, 8} and B = {x : x = 2n, n ∈ N, 1 ≤ n ≤ 4}, which of the following is correct?If A = {1, 2, 3} and B = P(A), which of the following is not an element of B?If A = {a, b}, which set is equal to P(A)?If A = {1, 2, 3, 4}, how many subsets of A contain 1 and do not contain 4?If A = {1, 2, 3} and B = {1, 2, 3, 4, 5}, how many subsets of B are also subsets of A?If A = {x : x ∈ N and x² < 50}, which of the following is not a subset of A?If A = {x : x is a prime divisor of both 24 and 36}, what is A?If A = {x : x is a positive multiple of 25 less than 100}, how many subsets does A have?If a set has 15 proper subsets, how many elements are in its power set?If A = {{1}, {2}, {1,2}}, which of the following is an element of A?If A = {x : x is a positive divisor of 40 and x ≤ 10}, which of the following is equal to A?If A = {1,2,3,4}, how many subsets of A contain both 2 and 3?If A has 5 elements, how many subsets of A are not equal to A?If A = {x ∈ R : x² + 1 = 0}, what is A as a subset of the real numbers?If A = {{1,2},3,4}, which of the following is not a subset of A?If A = {x : x ∈ N and x ≤ 3}, how many elements of P(A) are singleton sets?