The eccentricity of the conic defined by | (x-1)^ 2 +(y-2)^ 2 - (x-5)^ 2 +(y-5)^ 2 |=3 is…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The eccentricity of the conic defined by

 \(\left|\sqrt{(x-1)^{2}+(y-2)^{2}}-\sqrt{(x-5)^{2}+(y-5)^{2}}\right|=3\)  is :

  1. \(\frac{5}{2}\)
  2. \(\frac{5}{3}\)
  3. \(\sqrt{2}\)
  4. \(\frac{\sqrt{11}}{3}\)

Answer

(D) 11 3

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