AP EAMCET · Maths · Complex Number
If \(\mathrm{z}=\mathrm{x}+\) iy represents a point in the Argand plane, then a point which is not in the region represented by
\(|z-1+i| \leq 2\) is
- A \(\frac{1-i}{2}\)
- B \(1\)
- C \(\frac{1-i}{4}\)
- D i
Answer & Solution
Correct Answer
(D) i
Step-by-step Solution
Detailed explanation
\(|z-1+i| \leq 2\) \(\Rightarrow|\mathrm{z}-(1-\mathrm{i})| \leq 2\) (a) Let \(z_1=\frac{1-1}{2}\) then \(\left|z_1-(1-i)\right|\) \(=\left|\frac{(1-i)}{2}\right|=\sqrt{\frac{1}{4}+\frac{1}{4}}\) \(=\left|\frac{(1-i)}{2}\right|=\sqrt{\frac{1}{4}+\frac{1}{4}}\)…
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