Let {\S}=\{z=x+i y:| z-1+i| \geq z|,|z| < 2,|z+i|=|z-1|\}. Then the set of all values of x, for which u=2 x+i y \in {\S} for some y \in \mathbb{R}, is [29-Jul-2022-Shift-2]

Correct Answer is : (−1√2,14]

(-\sqrt{2}, \frac{1}{2 \sqrt{2}]

(-\frac{1}\sqrt{2}, \frac{1}{4}]

(-\frac{1}\sqrt{2}, \frac{1}{2 \sqrt{2}]

Complex Numbers Part 2

Section: Mathematics

Question : 79 of 97

Marks: +1, -0

Let S={z=x+iy:|z−1+i|≥z|,|z|<2,|z+i|=|z−1|}. Then the set of all values of x, for which u=2x+iy∈S for some y∈ℝ, is

[29-Jul-2022-Shift-2]

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