ISRO Mechanical & Aerospace 2009 - Question 73

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The locus of the point Z satisfying the condition arg (Z-1)/(Z+1) = pi/3 is

  • A. $x² - y² - 2\sqrt{3}y = 0$
  • B. $x² + y² = 1$
  • C. $x² - y² - 2\sqrt{3}y - 1 = 0$
  • D. $x² + y² - \frac{2}{\sqrt{3}}y - 1 = 0$

Answer: D. $x² + y² - \frac{2}{\sqrt{3}}y - 1 = 0$

Explanation: This represents a circle arc passing through 1 and -1.

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