Question
Is there any relation which is symmetric and also antisymmetric ?

Answer

Yes, is set of natural number ' $=$ ' relation is symmetric as well as antisymmetric.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

If $\vec{a}=2 \hat{i}+\hat{j}-2 \hat{k}$, then find unit vector in direction of vector $\vec{a}$.
Integrate the function: $\frac{x \cos ^{-1} x}{\sqrt{1-x^{2}}}$
$\text{Evaluate: } \int\frac{x^{2}}{1 + x^{3}} \text{dx}$
$\text{If} \overrightarrow{\text{a}} = 7\hat{\text{i}} + \hat{\text{j}} - 4\hat{\text{k}}$ and $\overrightarrow{\text{b}} = 2\hat{\text{i}} - 6\hat{\text{j}} + 3\hat{\text{k}},$ then find projection of $\overrightarrow{\text{a}}\text{on} \overrightarrow{\text{b}}.$
Write the degree of the differrntial equation $\text{x}^{3}\Big(\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}\Big)^{2}+\text{x}\Big(\frac{\text{dy}}{\text{dx}}\Big)^{4}=0.$ 
Let $_*$ be a binary operation, on the set of all non$-$zero real numbers, given by $a _{*} b = \frac{\text{ab}}{5}$ for all $a, b \in R - \{0\}.$ Find the value of $x,$ given that $2 _* (x _* 5) = 10.$
Write the value of p for which $\overrightarrow{a} = 3\hat{i} + 2\hat{j} + 9\hat{k}$ and  $\overrightarrow{b} = \hat{i} + \text{p}\hat{j} + 3\hat{k}$ are parallel vectors.
In set $A=\{0,1,2,3,4,5\} R$ is equivalence relation where $R =\{(a, b):(a-b)$ is divisible by 2$\}$. Write equivalence class [0].
Find the direction cosines of the following vector: 
$6\hat{\text{i}}-2\hat{\text{j}}-3\hat{\text{k}}$
 
In the matrix $\text{A}=\begin{bmatrix}2&5 &19 &-7\\ 35 & -2 & \frac{5}{2} &12 \\ \sqrt{3} & 1 &-5 &17\\\end{bmatrix} $, write:
  1. The order of the matrix.
  2. The number of elements.
  3. write the elements $a_{13},a_{21}, a_{24} ,a_{23}.$