Which of the following is true
Which of the following is true
- A
If number of elements in set $A$ are finite, such that $f : A \to A$ is an one-one function, then $f$ is necessarily onto
- B
If a function is continuous in its domain and changes its sign for any $2$ values of $x$ then odd number of roots lie between the given values of $x$
- C
If $f : A \to A$ is one-one then it must be onto
- D
It is possible that a curve contains a local maxima and a global minima at the same point
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The number of one-one function $f :\{ a , b , c , d \} \rightarrow$ $\{0,1,2, \ldots ., 10\}$ such that $2 f(a)-f(b)+3 f(c)+$ $f ( d )=0$ is
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Which pair $(s)$ of function $(s)$ is/are equal ?
where $\{x\}$ and $[x]$ denotes the fractional part $\&$ integral part functions.
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where $\{x\}$ and $[x]$ denotes the fractional part $\&$ integral part functions.
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$( S 1): A \cap B =(1, \infty)-N$ and
$( S 2): A \cup B=(1, \infty)$
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