116799 The minimum number of elements that must be added to the relation \(R=\{(\mathbf{a}, \mathbf{b}),(\mathbf{b}, \mathbf{c})\}\) on the set \(\{a, b, c\}\) so that it becomes symmetric and transitive is :

116800 Let \(R\) be a relation defined an \(N\) as \(a R\) is \(2 a\) \(+3 b\) is a multiple of \(5, a, b \in N\). Then \(R\) is

116802 Among the relations
\(S=\left\{(\mathbf{a}, \mathbf{b}): \mathbf{a}, \mathbf{b} \in \mathbf{R}-\{0\}, 2+\frac{\mathbf{a}}{\mathbf{b}}>0\right\}\) and \(T=\) \(\left\{(\mathbf{a}, \mathbf{b}): \mathbf{a}, \mathbf{b} \in \mathbf{R}, \mathbf{a}^2-\mathbf{b}^2 \in Z\right\}\).

116803 Let \(R\) be the relation on the set \(R\) of all real
Numbers defined by setting aRb iff \(|a-b| \leq \frac{1}{2}\)
Then \(R\) is

116804 Given the relation \(R=\{(1,2),(2,3)\}\) on the set \(A=\{1,2,3\}\), the number of ordered pairs which when added to \(R\) make it an equivalence relation is

116799 The minimum number of elements that must be added to the relation \(R=\{(\mathbf{a}, \mathbf{b}),(\mathbf{b}, \mathbf{c})\}\) on the set \(\{a, b, c\}\) so that it becomes symmetric and transitive is :

116800 Let \(R\) be a relation defined an \(N\) as \(a R\) is \(2 a\) \(+3 b\) is a multiple of \(5, a, b \in N\). Then \(R\) is

116802 Among the relations
\(S=\left\{(\mathbf{a}, \mathbf{b}): \mathbf{a}, \mathbf{b} \in \mathbf{R}-\{0\}, 2+\frac{\mathbf{a}}{\mathbf{b}}>0\right\}\) and \(T=\) \(\left\{(\mathbf{a}, \mathbf{b}): \mathbf{a}, \mathbf{b} \in \mathbf{R}, \mathbf{a}^2-\mathbf{b}^2 \in Z\right\}\).

116803 Let \(R\) be the relation on the set \(R\) of all real
Numbers defined by setting aRb iff \(|a-b| \leq \frac{1}{2}\)
Then \(R\) is

116804 Given the relation \(R=\{(1,2),(2,3)\}\) on the set \(A=\{1,2,3\}\), the number of ordered pairs which when added to \(R\) make it an equivalence relation is

116799 The minimum number of elements that must be added to the relation \(R=\{(\mathbf{a}, \mathbf{b}),(\mathbf{b}, \mathbf{c})\}\) on the set \(\{a, b, c\}\) so that it becomes symmetric and transitive is :

116800 Let \(R\) be a relation defined an \(N\) as \(a R\) is \(2 a\) \(+3 b\) is a multiple of \(5, a, b \in N\). Then \(R\) is

116802 Among the relations
\(S=\left\{(\mathbf{a}, \mathbf{b}): \mathbf{a}, \mathbf{b} \in \mathbf{R}-\{0\}, 2+\frac{\mathbf{a}}{\mathbf{b}}>0\right\}\) and \(T=\) \(\left\{(\mathbf{a}, \mathbf{b}): \mathbf{a}, \mathbf{b} \in \mathbf{R}, \mathbf{a}^2-\mathbf{b}^2 \in Z\right\}\).

116803 Let \(R\) be the relation on the set \(R\) of all real
Numbers defined by setting aRb iff \(|a-b| \leq \frac{1}{2}\)
Then \(R\) is

116804 Given the relation \(R=\{(1,2),(2,3)\}\) on the set \(A=\{1,2,3\}\), the number of ordered pairs which when added to \(R\) make it an equivalence relation is

116799 The minimum number of elements that must be added to the relation \(R=\{(\mathbf{a}, \mathbf{b}),(\mathbf{b}, \mathbf{c})\}\) on the set \(\{a, b, c\}\) so that it becomes symmetric and transitive is :

116800 Let \(R\) be a relation defined an \(N\) as \(a R\) is \(2 a\) \(+3 b\) is a multiple of \(5, a, b \in N\). Then \(R\) is

116802 Among the relations
\(S=\left\{(\mathbf{a}, \mathbf{b}): \mathbf{a}, \mathbf{b} \in \mathbf{R}-\{0\}, 2+\frac{\mathbf{a}}{\mathbf{b}}>0\right\}\) and \(T=\) \(\left\{(\mathbf{a}, \mathbf{b}): \mathbf{a}, \mathbf{b} \in \mathbf{R}, \mathbf{a}^2-\mathbf{b}^2 \in Z\right\}\).

116803 Let \(R\) be the relation on the set \(R\) of all real
Numbers defined by setting aRb iff \(|a-b| \leq \frac{1}{2}\)
Then \(R\) is

116804 Given the relation \(R=\{(1,2),(2,3)\}\) on the set \(A=\{1,2,3\}\), the number of ordered pairs which when added to \(R\) make it an equivalence relation is

116799 The minimum number of elements that must be added to the relation \(R=\{(\mathbf{a}, \mathbf{b}),(\mathbf{b}, \mathbf{c})\}\) on the set \(\{a, b, c\}\) so that it becomes symmetric and transitive is :

116800 Let \(R\) be a relation defined an \(N\) as \(a R\) is \(2 a\) \(+3 b\) is a multiple of \(5, a, b \in N\). Then \(R\) is

116802 Among the relations
\(S=\left\{(\mathbf{a}, \mathbf{b}): \mathbf{a}, \mathbf{b} \in \mathbf{R}-\{0\}, 2+\frac{\mathbf{a}}{\mathbf{b}}>0\right\}\) and \(T=\) \(\left\{(\mathbf{a}, \mathbf{b}): \mathbf{a}, \mathbf{b} \in \mathbf{R}, \mathbf{a}^2-\mathbf{b}^2 \in Z\right\}\).

116803 Let \(R\) be the relation on the set \(R\) of all real
Numbers defined by setting aRb iff \(|a-b| \leq \frac{1}{2}\)
Then \(R\) is

116804 Given the relation \(R=\{(1,2),(2,3)\}\) on the set \(A=\{1,2,3\}\), the number of ordered pairs which when added to \(R\) make it an equivalence relation is