Complex NumbersHard
Question
If z satisfies the inequality |z - 1 - 2i| ≤ 1, then
Options
A.min (arg (z)) = tan-1 (3/4)
B.max (arg(z)) = 
C.min (|z|) = √5 - 1
D.max (|z|) = √5 + 1
Solution
⇒ 
max | z | = d + r
min | z | = d - r
d = OC = √5
r = 1
θ = ⎳OCX = tan-1
α = ⎳OCA = tan-1
So principal Arg of A = θ - α = tan-1 2 - tan-1
= tan-1
max | z | = d + r
min | z | = d - r
d = OC = √5
r = 1
θ = ⎳OCX = tan-1
α = ⎳OCA = tan-1
So principal Arg of A = θ - α = tan-1 2 - tan-1
= tan-1
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