The relation $R$ defined on the set of natural numbers as $\{(a, b) : a$ differs from $b$ by $3\}$, is given by
$\{(1, 4, (2, 5), (3, 6),.....\}$
$\{(4, 1), (5, 2), (6, 3),.....\}$
$\{(1, 3), (2, 6), (3, 9),..\}$
None of these
Let $A = \{1, 2, 3\}$. The total number of distinct relations that can be defined over $A$ is
Let $R$ be a relation from $N$ to $N$ defined by $R =\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\} .$ Are the following true?
$(a, a) \in R ,$ for all $a \in N$
Let $A=\{1,2,3,4,6\} .$ Let $R$ be the relation on $A$ defined by $\{ (a,b):a,b \in A,b$ is exactly divisible by $a\} $
Write $R$ in roster form
Let $R$ be a relation from $N$ to $N$ defined by $R =\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\} .$ Are the following true?
$(a, b) \in R,$ implies $(b, a) \in R$
Let $A=\{1,2,3,4,5,6\} .$ Define a relation $R$ from $A$ to $A$ by $R=\{(x, y): y=x+1\}$
Write down the domain, codomain and range of $R .$