MCQ
Consider the following statements:
$I.$ If $\text{A } \cap \text{B}=\phi$ then either $ \text{A}=\phi$ or $ \text{B}=\phi$
$II.$ For $ \text{a} ≠ \text{b}, \ ({\text{a}},\text{b})=(\text{b}, \text{a})$ and $ \text{a} ≠ \text{b}$
$III.$ If $\text{A}\subseteq \text{B}$, then $ \text{A } \times\text{A }\subseteq ( \text{A } \times\text{B })\ \cap ( \text{B} \times\text{A })$
$IV.$ If $\text{A}\subseteq \text{B}$ and $\text{C}\subseteq \text{D}$, then $ \text{A } \times\text{C }\subseteq ( \text{B} \times\text{D }) $ Which of these is/are correct?
$I.$ If $\text{A } \cap \text{B}=\phi$ then either $ \text{A}=\phi$ or $ \text{B}=\phi$
$II.$ For $ \text{a} ≠ \text{b}, \ ({\text{a}},\text{b})=(\text{b}, \text{a})$ and $ \text{a} ≠ \text{b}$
$III.$ If $\text{A}\subseteq \text{B}$, then $ \text{A } \times\text{A }\subseteq ( \text{A } \times\text{B })\ \cap ( \text{B} \times\text{A })$
$IV.$ If $\text{A}\subseteq \text{B}$ and $\text{C}\subseteq \text{D}$, then $ \text{A } \times\text{C }\subseteq ( \text{B} \times\text{D }) $ Which of these is/are correct?
- AOnly $(II)$
- ✓Only $(I)$
- COnly $(IV)$
- D$(II), (III)$ and $(IV)$