| 2023-12-21 | Let \( A=\{1,2,3,4\} \& R=\{(1,2),(2,3),(1,3)\} \) be a
P
relation ... |
| 2023-12-21 | Let \( B=\{a, b, c, d\} \& R=\{(a, c),(c, a),(a, a),(b \),
\( d),(d... |
| 2023-12-21 | Let \( B=\{a, b, c, d\} \& R=\{(a, c),(c, a),(a, a),(b \),
\( d),(d... |
| 2023-12-21 | Let \( C=\{p, q, r, s\} \& R=\{(p, p),(q, q),(r, r),(s, s) \),
\( \... |
| 2023-12-21 | If the percentage in the edge of a cube is 1 ,
\( \mathrm{P} \)
the... |
| 2023-12-21 | The function \( f(x)=\log \left(x+\sqrt{x^{2}+1}\right) \) is
\( \m... |
| 2023-12-21 | Let \( A \) and \( B \) be finite sets containing 3 and 5 elements ... |
| 2023-12-21 | Evaluate the following limits
\( \mathrm{P} \)
\[
\lim _{n \rightar... |
| 2023-12-21 | Let \( f(x)=\frac{a x+b}{c x+d} \). Then, \( f \circ f(x)=x \) prov... |
| 2023-12-21 | If \( X=\{4,5,6\} \) and \( Y=\{0,1\} \) and \( f: X \rightarrow Y ... |
| 2023-12-21 | The number of injective functions from \( \{1,2,3\} \rightarrow \)
... |
| 2023-12-21 | The above curve shows the graph of \( a^{x} \) under which
\( \math... |
| 2023-12-21 | Let \( f: R \rightarrow R \) be defined by \( f(\mathrm{x})=\sin x ... |
| 2023-12-21 | Consider the following statements:
I. \( \quad f:[0,2 \pi] \rightar... |
| 2023-12-21 | If \( f:\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \rightarrow[-1,1... |
| 2023-12-21 | The inverse function \( f^{-1} \) exists only, if \( f \) is
P
(1) ... |
| 2023-12-21 | If \( f(x)=\frac{1-x}{1+x} \), then \( f^{-1}(x)= \) ?
\( \mathrm{P... |
| 2023-12-21 | Which one of the following function \( f: R \rightarrow R \) is
\( ... |
| 2023-12-21 | If \( f(x)=\frac{4 x+x^{4}}{1+4 x^{2}} \) and \( g(x)=\log \left(\f... |
| 2023-12-21 | If \( f: A \rightarrow B \) is one one and \( g: B \rightarrow C \)... |
| 2023-12-21 | What will be the type of function; when an even
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fu... |
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