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Ask iit jee aieee pet cbse icse state board experts Expert Question: complex number
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abhiabhijain (5)

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what is the value of "1/i" ?
 
    
abhiabhijain (5)

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SOLUTION - WE HAVE,
1/ i = i2/ i3
on solving ,
1/ i = -i
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puneet (3588)

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Yes ur answer is absolutely correct ... 1/i is indeed  -i
 
cheers

Puneet Agrawal
IIT Delhi
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umarwithyou (0)

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1/i x -i/-i (multipling by conjugate)
we get,,
 
-1/-i² = -1/-1 = 1
 
that s it ..  IS IT RIGHT ??

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pankaj_nandi88 (0)

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Hey,
Abhiabhijain
your ans is correct.
Plz tell me why
how can you have i2 in the numerator and i3 in the denominator in the equation-----1/i=i2/i3



Plz explain me elaborately.
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praveen100 (0)

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your q is not clear
 
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mahadikpkm (5)

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Every complex no. is best treated if converted in polar form
 
so,
 
1/i=1/[e^i(pie)/2]
 
so, 1/i=e^-i(pie)/2
so, 1/i=cos(pie/2)-isin(pie/2)
s0,1/i=-i
 
multipling by conjugates and getting ans. 1 is somethin' tricky
 
but even by De Moivre's th.
 
ans=-i
 
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