| 2024-01-29 | Let \( f(x) \) be a quadratic polynomial such that \( f(-1)+f(2)=0 \). If one of the roots of \(.... |
| 2024-01-29 | If \( f(x)=[x-2] \), where \( [x] \) denotes the greatest integer less than or equal to \( .... |
| 2024-01-29 | If the functions \( f(x) \) and \( g(x) \) are defined on
\( R \rightarrow R \) such that \( f(x.... |
| 2024-01-29 | Let \( f(n)=[1 / 3+3 n / 100] n \), where \( [n] \) denotes the greatest integer less than .... |
| 2024-01-29 | Let \( \mathrm{X} \) be a set with exactly 5 elements and \( \mathrm{Y} \) be a set with exactly.... |
| 2024-01-29 | \( f: R \rightarrow R \) is a function defined by \( f(x)=10 x-7 \). If \( g=f^{-1} \), then \( .... |
| 2024-01-29 | The period of the function \( f(x)=\sin \left(\frac{2 x+3}{6 \pi}\right) \), is.... |
| 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 \(.... |
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