AP EAMCET · Maths · Complex Number
If a complex number \(z\) is such that \(\frac{z-2 i}{z-2}\) purely imaginary number and the locus of \(z\) is a closed curve, then the area of the region bounded by that closed curve and lying in the first quadrant is
- A \(2 \pi\)
- B \(\frac{\pi}{2}\)
- C \(\pi\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
Given, \(\frac{z-2 i}{z-2}\) is purely imaginary.…
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