Let X be the image of the interval [0,1] under the M\"obius transformation f(z)=z-i/z+i. Which of the following statements is true?

(B) X=e^ithetamidthetain[pi,tfrac3pi2].

Q34Section B (Part B)34 of 120

Image of $[0,1]$ under $(z-i)/(z+i)$

Let $X$ be the image of the interval $[0,1]$ under the M"obius transformation $f(z)=\dfrac{z-i}{z+i}$ . Which of the following statements is true?

Pick an option to check your answer.

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