A point A(2, 1) is outside the circle x 2 + y 2 + 2gx + 2fy + c = 0 & AP, AQ are tangents…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

A point A(2, 1) is outside the circle
x2 + y2 + 2gx + 2fy + c = 0 & AP, AQ are tangents to the circle. The equation of the circle circumscribing the triangle APQ is :
  1. (x + g) (x – 2) + (y + f) (y – 1) = 0
  2. (x + g) (x – 2) – (y + f) (y – 1) = 0
  3. (x – g) (x + 2) + (y – f) (y + 1) = 0
  4. none of these

Answer

(A) (x + g) (x – 2) + (y + f) (y – 1) = 0

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