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JEE Advanced2013MathematicsStraight LinesActual

Paragraph: Let S=S₁ S₂ S₃ , where S₁= z C :|z| 0 and S₃= z C : Re z>0 . Question: _ z S |1-3 i- z |=

Options

  1. A2 - 3 2
  2. B2 + 3 2
  3. C3 - 3 2
  4. D3 + 3 2

Correct answer

C. 3 - 3 2

Step-by-step solution

min z ∈ s 1 - 3 i - z perpendicular length of point (1, -3) from line 3 x +   y = 0 3 - 3 3 + 1 = 3 - 3 2 = 3 - 3 2

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