2024-06-28 | Let \(\left.A=\left\{(x, y): x \in R, y \in R, x^3+y^3=1\right]\right\},B=\{(x, y): x \in R\), \.... |
2024-06-28 | If \(A\) and \(B\) are two given sets, then \(A \cap(A \cap B)^c\) is equal to.... |
2024-06-28 | The set \(\left(A \cap B^{\prime}\right)^{\prime} \cup(B \cap C)\) is equal to.... |
2024-06-28 | Let \(S=\left\{x \in R:(x-3)^2+(x-2)^2+5(x-4)^2=0\right\}\). Then \(S\).... |
2024-06-28 | If \(A=\left\{x: x^2-5 x+6=0\right\}, B=\{2,4\}, C=\{4,5\}\) then \(A \times(B \cap C)\) is.... |
2024-06-28 | If \(A=\{a, b\}, B=\{c, d\}, C=\{d, e\}\) then \(\{(a, c),(a, d),(a, e)\), \((b, c),(b, d),(b, e.... |
2024-06-28 | If the set A has p elements, B has q elements, then the number of elements in A × B is&nbs.... |
2024-06-28 | If A = {2, 4, 5}, B = {7, 8, 9} then n(A × B) is equal to.... |
2024-06-28 | If A = {0, 1}, and B = {1, 0}, then A × B is equal to.... |
2024-06-28 | If A, B and C are non-empty sets, then (A – B) ∪ (B – A) equals.... |
2024-06-28 | If A, B and C are any three sets, then A – (B ∪ C) is equal to.... |
2024-06-28 | If A, B and C are any three sets, then A × (B ∪ C) is equal to.... |
2024-06-28 | In a class of 55 students, the number of students studying different subjects are 23 in Mathemat.... |
2024-06-28 | If \(A, B\) and \(C\) are any three sets, then \(A \times(B \cap C)\) is equal to.... |
2024-06-28 | Let \(n(U)=700, n(A)=200, n(B)=300\) and \(n(A \cap B)=100\) then \(n\left(A^c \cap B^c\right)\).... |
2024-06-28 | In a city 20 percent of the population travels by car, 50 percent travels by bus and 10 percent .... |
2024-06-28 | If \(A=\left[(x, y): x^2+y^2=25\right]\) and \(B=\left[(x, y): x^2+9 y^2\right.\) \(=144]\), the.... |
2024-06-28 | If \(A\) and \(B\) are two sets such that \(n(A)=70, n(B)=60\), and \(n(A \cup B)=110\), then \(.... |
2024-06-28 | Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A.... |
2024-06-28 | If the sets \(A\) and \(B\) are defined as\[\begin{aligned}& A=\left\{(x, y): y=e^x, x \in R.... |
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.... |