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1.Set Theory
medium
If the sets $A$ and $B$ are defined as $A = \{ (x,\,y):y = {1 \over x},\,0 \ne x \in R\} $ $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
Solution
(c) Since $\,y = {1 \over x},\,y = – x$ meet when $ – x = {1 \over x}$ ==> ${x^2} = – 1$, which does not give any real value of $x.$
Hence, $\,A \cap B = \phi $.
Standard 11
Mathematics
