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IF A={x BELONGS to COMPLEX NO:x 2 =1} B={x belongs to complex no :x 4 =1}, THEN FIND A-B AND B-A.

IF A={x BELONGS to COMPLEX NO:x2=1}


B={x belongs to complex no :x4=1}, THEN FIND A-B AND B-A.

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear vardan kumar

x2=1

solution for this equation is x= cos2r∏/2 + isin2r∏/2   where r=0,1

                   so x =1 and -1


for x4=1

 

solution for this equation is x= cos2r∏/4 + isin2r∏/4   where r=0,1,2,3

                   so x =1  , cos∏/2 + isin∏/2 ,cos∏ + isin∏ ,cos3∏/2 + isin3∏/2

                       x =1 ,i ,-1,-i

so A-B = Φ

and B-A = i,-i

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