From a point R(5, 8) two tangents RP and RQ are drawn to a given circle S = 0 whose…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

From a point R(5, 8) two tangents RP and RQ are drawn to a given circle S = 0 whose radius is 5. If circumcentre of the triangle PQR is (2, 3), then the equation of circle
S = 0 is
  1. x2 + y2 + 2x + 4y – 20 = 0
  2. x2 + y2 + x + 2y – 10 = 0
  3. x2 + y2 – x – 2y – 20 = 0
  4. x2 + y2 – 4x – 6y – 12 = 0

Answer

(A) x 2 + y 2 + 2x + 4y – 20 = 0

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