2024-06-28 | If the sets \(A\) and \(B\) are defined as
\(A=\left\{(x, y): y=\frac{1}{x}, 0 \neq x \in R\righ.... |
2024-06-28 | Given the sets \(A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}\), then \(A \cup(B \cap C)\) is.... |
2024-06-28 | If \(a N=\{a x: x \in N\}\) and \(b N \cap c N=d N\), where \(b, c \in N\) are relatively prime,.... |
2024-06-28 | If \(N_a=\{a n: n \in N\}\) then \(N_3 \cap N_4=\).... |
2024-06-28 | If A and B are two given sets, then A ∩ (A ∩ B)c is equal to.... |
2024-06-28 | If A and B are any two sets, then A ∪ (A ∩ B) is equal t.... |
2024-06-28 | If A ⊆ B, then A ∪ B is equal to.... |
2024-06-28 | If \(X=\left\{8^n-7 n-1: n \in N\right\}\) and \(Y=\{49(n-1): n \in N\}\), then.... |
2024-06-28 | If a set A has n elements, then the total number of subsets of A is.... |
2024-06-28 | The number of proper subsets of the set {1, 2, 3} is.... |
2024-06-28 | The set \(A=\left\{x: x \in \mathrm{R}, x^2=16\right.\) and \(\left.2 x=6\right\}\) equals.... |
2024-06-28 | Which of the following is the empty set.... |
2024-06-28 | If P(A) = P(B), Show that A = B.... |
2024-06-28 | In a town of 10,000 families, it was found that \(40 \%\) families buy newspaper \(A, 20 \%\) fa.... |
2024-06-28 | If \(A\) and \(B\) are subsets of the universal set \(\mathrm{U}\), then show that(i) \(A \subse.... |
2024-06-28 | Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English .... |
2024-06-28 | In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students.... |
2024-06-28 | Given \(L=\{1,2,3,4\}, M=\{3,4,5,6\}\) and \(N=\{1,3,5\}\)Verify that \(L-(M \cup N)=(L-M) \cap(.... |
2024-06-28 | Let \(U=\{x: x \in N, x \leq 9\} ; A=\{x:\) is an even number, \(0<x<10\} ; B=\{2,3,5,7\}\.... |
2024-06-28 | Given that \(N=\{1,2,3, \ldots ., 100\}\), then(i) Write the subset \(A\) of \(N\), whose elemen.... |
2024-06-28 | Let \(U=\{1,2,3,4,5,6,7\}, A=\{2,4,6\}, B=\{3,5\}\) and \(C=\{1,2,4,7\}\), find \(A^{\prime} \cu.... |