Types of Relations

The relation $R$can be defined in the set$\left\{1,2,3,4,5,6\right\}$ as  $R=\left\{(a,b):b=a+1\right\}$ .It is an example of 

A relation $R$ on the set $A=\left\{a,b,c\right\}$is said to be symmetric if 

A relation $R$ is said to be reflexive for all $a,b\in A$, if  

A relation $R$ on set $A$ is said to be the identity relation if 

Let $R=\left\{\left(a,b\right):a \text{divides} b\right\}$ defined on set of natural numbers; then $R$ is

Let $R=\left\{\left(L_1,L_2\right):L_1 \text{is perpendicular to} L_2\right\}$ defined on the set of all lines in $XY-$plane, then $R$ is

$R=\left\{\left(x,y\right):x<y\right\}$ defined on $N$ is

Let $A=\left\{1,2,3\right\}$, and $R=\left\{\left(1,1\right),\left(2,1\right),\left(2,2\right),\left(1,2\right),\left(3,2\right),\left(3,3\right)\right\}$; then $R$ is:

Let $A=\left\{1,2,3\right\}$, and $R=\left\{\left(1,1\right),\left(1,2\right),\left(1,3\right),\left(2,1\right),\left(2,3\right)\right\}$; then $R$ is:

Let $A=\left\{1,2,3\right\}$, which of the following is not an equivalence relation on $A?$

Let $R$ be the relation in the set $\left\{1,2,3\right\};$ given by $R=\left\{\left(1,2\right),\left(2,2\right),\left(1,1\right),\left(2,3\right),\left(1,3\right),\left(3,3\right),\left(3,2\right)\right\}.$ Choose the correct answer.

Let$R=\left\{\left(1,3\right),\left(2,4\right),\left(4,2\right),\left(2,3\right),\left(3,1\right)\right\}$ be a relationship on set $A=\left\{1,2,3,4\right\}$. The relation is 

Which of the following is not an equivalence relation on $Z?$

A relation $R$ on the set $A=\left\{a,b,c\right\}$ is said to be transitive, if

Let $N$ denote the set of all natural number and $R$ is a relation on $N\times N$. Which of the following is an equivalence relation $?$

Let $A=\{1,2,3,4,5,6,7\}$. Then the relation $R=\left\{\right(x,y)\in A\times A:x+y=7\}$ is

Let $\mathrm{O}$ be the origin. If a relation $\mathrm{R}$ is defined between two points $A$ and $B$ in a plane such that $OA=OB$ then the relation $R$ is

If $R=\left\{\left(x,y\right): x,y\in Z, x-y\in Z\right\}$, then the relation $R$ is

Let $f\left(x\right)=\left\{1,2,3,4,5,6,7\right\}$ the relation $R=\left\{\left(x,y\right)\in A\times A, x+y=7\right\}$

Let $R=\left\{\left(a,b\right):a,b\in N \text{and} a^2=b\right\}, \text{then what is the relation} R$