Let $A = \{ (x,\,y):y = {e^x},\,x \in R\} $, $B = \{ (x,\,y):y = {e^{ - x}},\,x \in R\} .$ Then
Let $A = \{ (x,\,y):y = {e^x},\,x \in R\} $, $B = \{ (x,\,y):y = {e^{ - x}},\,x \in R\} .$ Then
- A
$A \cap B = \phi $
- B
$A \cap B \ne \phi $
- C
$A \cup B = {R^2}$
- D
None of these
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- [JEE MAIN 2022]
Find the union of each of the following pairs of sets :
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Show that the following four conditions are equivalent:
$(i)A \subset B\,\,\,({\rm{ ii }})A - B = \phi \quad (iii)A \cup B = B\quad (iv)A \cap B = A$
Show that the following four conditions are equivalent:
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$A \cup B$
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