Sets Relations And Functions Question 88
Question: if the sets A and B are defined as A= $ {(x,y)|y=1/x,x\ne 0,x\in R} $ B= $ {(x,y)|y=-x,x\in R} $ Then
Options:
A) $ A\cap B=A $
B) $ A\cap B=B $
C) $ A\cap B=\phi $
D) $ A\cup B=A $
Show Answer
Answer:
Correct Answer: C
Solution:
- [c] For $ A\cap B. $
we have $ -x=\frac{1}{x} $
$ \Rightarrow $ $ -x^{2}=1 $
$ \Rightarrow $ $ x^{2}=-1 $ ,
which is not possible
$ \therefore ,A\cap B=\phi $
BETA
