Find the loci for the complex numbers that satisfy[tex]|z-1|=|z+1|[/tex]

Ответ:

sierrawalk3896

12.03.2022

Let

. Then

$|z-1|=\sqrt{(x-1)^2+y^2}$
$|z+1|=\sqrt{(x+1)^2+y^2}$
$\implies (x-1)^2+y^2=(x+1)^2+y^2$
$\implies (x-1)^2=(x+1)^2$
$\implies -2x=2x$
$\implies x=0$

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Ответ:

fluffypuppies24

27.06.2021

Mathematics

CD = x
BC = y
AB = 85
BD = BC+CD = y+x

tan(angle) = opposite/adjacent
tan(28) = BC/AB
tan(28) = y/85
85*tan(28) = y
y = 85*tan(28)
y = 45.1953016912257

tan(angle) = opposite/adjacent
tan(31) = BD/AB
tan(31) = (y+x)/85
tan(31) = (45.1953016912257+x)/85
85*tan(31) = 45.1953016912257+x
51.0731526173427 = 45.1953016912257+x
51.0731526173427-45.1953016912257 = 45.1953016912257+x-45.1953016912257
5.877850926117 = x
x = 5.877850926117

So CD is roughly 5.877850926117 meters

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Find the loci for the complex numbers that satisfy $|z-1|=|z+1|$

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