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AP EAMCET202422 May 2024Morning ShiftMathematicsComplex NumberActual

If Z is a complex number such that |Z| 3 and - 2 a m p Z 2 , then the area of the region formed by locus of Z is

Options

  1. A9
  2. B9 2
  3. C3
  4. D9 4

Correct answer

B. 9 2

Step-by-step solution

|Z| 3 , - 2 amp (Z) 2 Required region is semicircle with radius 3. Required area = 3^2 2 = 9 2 .

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