If $f\left(x\right)=x+\frac{1}{x}$, then $\left[f\right(x){]}^3-f\left(x^3\right)$ is equal to

Important Questions on Relations and Functions

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 6

For the two sets $A$ and $B$, given $n(A\times B)=6$ and three of the elements of $A\times B$ are $\left(2, 5\right), (4, 6), (8, 6)$. Then the remaining elements are

MEDIUM

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 7

If $f:R\to R$ is a function with properties $f\left(x+y\right)=f\left(x\right).f\left(y\right)$ for all $x,y\in R$ and $f\left(1\right)=3$ then $f\left(4\right)$ is.

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 8

The range of the Signum function defined by $f\left(x\right)=\left\{\begin{array}{ll}\frac{\left|x\right|}{x}& \text{if} x\ne 0\\ 0& \text{if} x=0\end{array}\right.$ is

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 9

If $A$ and $B$ are two sets having $m$ and $n$ elements respectively and having $p$ elements common. The number of possible relations which can be defined from $A$ to $B$ is

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 10

The domain of the function $f\left(x\right)=\sqrt{25-x^2}$ is

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 11

Find the domain and range of the relation $R$, where $\mathrm{R}=\left\{\right(x+1,x+5): x\in \{0,1,2,3,4,5\left\}\right\}$ is

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 12

The set $B$ is the range of a constant function. Then, $n\left(B\right)$ equals

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 13

If $n(\mathrm{A}\cap \mathrm{B})=5$, then $n\left(\right(A\times B)\cap B\times A))$ is equal to