2024-01-29 | The domain of definition of
\( f(x)=\sqrt{\log _{10}\left(\log _{10} x\right)-\log _{10}\l.... |
2024-01-29 | The domain of definition of \( f(x)=\log _{10}\left\{\left(\log _{10} x\right)^{2}-5 \log _{10} .... |
2024-01-29 | If a function \( f(x) \) satisfies the condition \( f\left(x+\frac{1}{x}\right)=x^{2}+\frac.... |
2024-01-29 | If \( A \in[-3, \infty) \) then \( \frac{1}{A} \in \).... |
2024-01-29 | A relation \( R \) is defined from \( \{2,3,4,5\} \) to \( \{3,6,7,10\} \) by \( x R y \Rightarr.... |
2024-01-29 | If \( X=\left\{4^{n}-3 n-1: n \in N\right\} \) and \( Y=\{9(n-1): n \in \) \( N\} \), then.... |
2024-01-29 | If \( \mathrm{A}=\left\{x: x^{2}-5 x+6=0\right\}, B=\{2,4\}, C=\{4,5\} \), then \( A \times(B \c.... |
2024-01-29 | If the ordered pairs \( (x,-1) \) and \( (5, y) \) belong to the set \( \{(a, b): b=2 a-3\} \), .... |
2024-01-29 | If some of elements of \( A \times B \) are \( (x, p),(p, q),(r, s) \) then minimum value of \( .... |
2024-01-29 | Let \( A \) and \( B \) be two non-empty subsets of a set \( X \) such that \( A \) is not a sub.... |
2024-01-29 | The relation is subset of on the power set \( P(A) \) of a set \( A \) is.... |
2024-01-29 | In an office, every employee likes at least one of tea, coffee and milk. The number of empl.... |
2024-01-29 | Let \( R \) be a relation on the set \( N \) be defined by \( \{(x, y)\} \mid x, y \in N, 2.... |
2024-01-29 | Let \( L \) be the set of all straight lines in the Euclidean\( \mathrm{} \) plane. Two lines \(.... |
2024-01-29 | Which of the following cannot be the number of elements in the power set of any finite set?.... |
2024-01-29 | Let \( A \) be the set of all students in a school. A relation \( R \) is defined on \( A \.... |
2024-01-29 | If \( P \) is the set of all parallelograms, and \( T \) is the set of all trapeziums, then.... |
2024-01-29 | On the set of human beings a relation \( R \) is defined as follows: \( a R b \) if \( a \).... |
2024-01-29 | Let \( R_{1} \) be a relation defined by \( R_{1}=\{(a, b)\} \mid a \geq b, a, b \) \( \in .... |
2024-01-29 | If \( A=\{1,2,3,4,5\}, B=\{2,4,6\}, C=\{3,4,6\} \), then
\( (A \cup B) \cap C \) is.... |
2024-01-29 | Let \( R \) be a reflexive relation on a set \( A \) and \( I \) be the identity relation o.... |