Math miscellaneousHard
Question
z and w are two non zero complex no.s such that |z| = |w| and Arg z + Arg w = π then z equals
Options
A.
B.
C.w
D.- w
Solution
Let |z| = |ω| = r ∴ z = reiθ, ω = reiφ where θ + φ = π ∴ 
= re-iφ
∴ z = rei(π - φ) = reiπ .eiπ = - reiφ = -
= re-iφ∴ z = rei(π - φ) = reiπ .eiπ = - reiφ = -
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