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If |z-4|<|z-2| then find its solution ?

1 Answer

Mar 25, 2018

#x > 3#

Explanation:

Assuming #z = x + i y# we have

#sqrt((x-4)^2+y^2) < sqrt((x-2)^2+y^2)# and squaring

#(x-4)^2+y^2 < (x-2)^2+y^2# or

#-8x+16 < -4x + 4 rArr x > 3#

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