If the sets $A$ and $B$ are defined as $A = \{ (x,\,y):y = {e^x},\,x \in R\} $; $B = \{ (x,\,y):y = x,\,x \in R\} ,$ then

  • A

    $B \subseteq A$

  • B

    $A \subseteq B$

  • C

    $A \cap B = \phi $

  • D

    $A \cup B = A$

Similar Questions

If $A, B$ and $C$ are three sets such that  $A \cap B = A \cap C$ and $A \cup B = A \cup C$ then

  • [AIEEE 2009]

If $A=\{1,2,3,4\}, B=\{3,4,5,6\}, C=\{5,6,7,8\}$ and $D=\{7,8,9,10\} ;$ find

$B \cup C$

If $A$ and $B$ are two sets, then $A \cup B = A \cap B$ iff

If $A=\{3,6,9,12,15,18,21\}, B=\{4,8,12,16,20\},$ $C=\{2,4,6,8,10,12,14,16\}, D=\{5,10,15,20\} ;$ find

$A-B$

Find the union of each of the following pairs of sets :

$A=\{1,2,3\}, B=\varnothing$