Question

If the sets A and B are defined as

$A = \left\{ ( x , y ) : y = \frac { 1 } { x } , 0 \neq x \in R \right\}$ $B = \{ ( x , y ) : y = - x , x \in R \}$ , then

• A. $A \cap B = A$
• B. $A \cap B = B$
• C. $A \cap B = \phi$
• D. None of these

Answer 1

Answer: (C)

$A \cap B = \phi$

Answer 2

Since $y = \frac { 1 } { x } , y = - x$ meet when $A \cap B = \phi$.