Question

Let z-C be such that |z|<1.If w= 5+3z/5(1-z), then
​

Answer 1

Answer:

Correct option is

C

5Re(ω)>1

∣z∣<1

5ω(1−z)=5+3z

5ω−5ωz=5+3z

z=

3+5ω

5ω−5

∣z∣=5

∣

∣

∣

∣

∣

∣

3+5ω

ω−1

∣

∣

∣

∣

∣

∣

<1

∣ω−1∣<∣3+5ω∣

∣ω−1∣<5

∣

∣

∣

∣

∣

∣

ω−(−

5

3

)

∣

∣

∣

∣

∣

∣

Step-by-step explanation:

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