The circle x² + y² – 6x – 10y + c = 0 does not intersect or touch either axis & the point…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

The circle x² + y² – 6x – 10y + c = 0 does not intersect or touch either axis & the point (1, 4) is inside the circle. Then the range of possible values of c is given by :
  1. c > 9
  2. c > 25
  3. c > 29
  4. 25 < c < 29

Answer

(D) 25 < c < 29

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