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Multiplicative inverse of the non zero complex number x + iy (x,y ∈ R,)
  • a)
  • b)
  • c)
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Multiplicative inverse of the non zero complex number x + iy (x,y &isi...
Let u be multiplicative inverse
zu = 1
u = 1/z
u = 1/(x+iy)
Rationalise it 
[1/(x+iy)]*[(x-iy)/(x-iy)]
= (x-iy)/(x2+y2)
u = x/(x2+y2) +i(-y)/(x2+y2)
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Most Upvoted Answer
Multiplicative inverse of the non zero complex number x + iy (x,y &isi...
Let u be multiplicative inverse
zu = 1
u = 1/z
u = 1/(x+iy)
Rationalise it 
[1/(x+iy)]*[(x-iy)/(x-iy)]
= (x-iy)/(x2+y2)
u = x/(x2+y2) +i(-y)/(x2+y2)
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Community Answer
Multiplicative inverse of the non zero complex number x + iy (x,y &isi...
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Multiplicative inverse of the non zero complex number x + iy (x,y ∈ R,)a)b)c)-d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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