ISRO Mechanical & Aerospace 2011 - Question 72

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If the imaginary part of $(2z+1)/(iz+1)$ is -2, then the locus of the point z in the complex plane is

  • A. x + 2y - 2 = 0
  • B. 2x + y - 2 = 0
  • C. x - 2y - 2 = 0
  • D. x + 2y + 2 =0

Answer: A. x + 2y - 2 = 0

Explanation: Substitute z=x+iy and set Im(...) = -2. The resulting equation is a line $x+2y-2=0$.

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