Relations Test ...

If $$k\ \epsilon\ R^+$$ and the middle term of $$(\dfrac{k}{2} + 2)^8$$ is $$1120$$, then value of k is

If a relation R is defined on the set Z of integers as follows : (a,b) $$\epsilon \quad R\Leftrightarrow { a }^{ 2 }+{ b }^{ 2 }=25,$$ , Then domain (R)= 

Let A={1,2,3} and R={(1,1),(2,2),(1,2),(2,1),(1,3)}, then R is

Let $$R_1$$ and $$R_2$$ be equivalence relations on a set A, the $$R_1 \cup R_2$$ may or may not be

Let $$A=\left\{ 1,2,3 \right\} ,\quad B=\left\{ 1,3,5 \right\} .$$ If relation R from A to B is given by $$R=\left\{ \left( 1,3 \right) ,\left( 2,5 \right) ,\left( 3,3 \right)  \right\} .\quad Then\quad { R }^{ 1 }\quad is$$

If n(A)=5 then number of relation on 'A' is:

Consider the set $$A = \{ ( 1,2,3 ) \}$$ and the relation $$R = \{ ( 1,2 ) , ( 1,3 ) \}$$ then $$R$$ is

If $$A=\{ a,b,c\}$$ then relation $$R=\left\{ \left( b,c \right)  \right\}$$ on A  is 

For real numbers x and y, we write $$xRy\Leftrightarrow { x }^{ 2 }-{ y }^{ 2 }+\sqrt { 3 } $$ is an irrational number, then the relation R is

The number of equivalence relations that can be defined on a set {a,b,c}, is