TS EAMCET · Maths · Complex Number
If \(z=x+i y\) represents a point \(P\) in the argand plane, then the area of the region represented by the inequality \(2 < |z-(1+i)| < 3\) is
- A \(49 \pi\)
- B \(36 \pi\)
- C \(25 \pi\)
- D \(5 \pi\)
Answer & Solution
Correct Answer
(D) \(5 \pi\)
Step-by-step Solution
Detailed explanation
We have, \[ \begin{aligned} & z=x+i y \\ & \text { and } \quad 2 Area of region \(=\) Area of largest circle Area of smallest circle \(9 \pi-4 \pi=5 \pi\)
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