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Grade 11Algebra

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

Profile image of rani
8 Years agoGrade 11
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1 Answer

Profile image of Arun
8 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