1corrected
if |2iz1-z1-z2|/|2iz1+z1+z2| = |cosx-isinx|/|cosx+isinx| then z1/z2 is
a)purely real
b)purely imaginary
c)complex number with real part as positive
d) complex number with real part negative
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4 Answers
62|2iz1-z1-z2|/|2iz1+z1+z2| = 1
thus
|2i-1-z2/z1|=|2i+1+z2/z1|
|-2i+1+z2/z1|=|2i+1+z2/z1|
distance of z2/z1 from 2i-1 is same as from -2i-1
so it is a straight line bisecting these two points
hence purely real!