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Let z1, z2, z3 be three vertices of an e...

Let z1, z2, z3 be three vertices of an equilateral triangle circumscribing the circle `|z| = 1/2`. If `z1 = 1/2+ ((sqrt3)iota)/2` and z1, z2, z3 are in the anticlockwise sense then z2 is

Text Solution

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`abs(z)=1/2`,it represents circle with circle center `(0.0)` r=1/2
by drawing figure we get, since, z_2 is anticlockwise z_1=-1/2
`z_1=1/2+sqrt(3)i/2`
and Argument (z)=`sqrt(3)`
...
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