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a={(x,y):y=e ​2x x=R} b={(x,y):y=e ​-2x ​x=R} find a intersection b 1.not a set 2.empty set 3.singleton set 4.none of these answer with reason ​

a={(x,y):y=e​2xx=R}
b={(x,y):y=e​-2x​x=R}
find a  intersection b
1.not a set
2.empty set
3.singleton set  4.none of these  answer with reason

Grade:11

1 Answers

Arun
25750 Points
6 years ago
 

y=ex  here x can vary from - infinity to + infinity but y can be only positive number

 

 

 

so A = {R,positive number}

 

 

 

and for y =e-x  x can vary from - infinity to + infinity but y can be only positive number

 

so B ={R,positive number}

 

so A intersect B at only (0,1)

Hence A intersection B is (0,1)

Hencdc a singleton set

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