Point M moved on the circle (x – 4) 2 + (y – 8) 2 = 20 . Then it broke away from it and…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

Point M moved on the circle (x – 4)2 + (y – 8)2 = 20 . Then it broke away from it and moving along a tangent to the circle, cuts the x–axis at the point (–2, 0). The
co–ordinates of a point on the circle at which the moving point broke away is
  1. \(\left(-\frac{3}{5}, \frac{6}{5}\right)\)
  2. \(\left(-\frac{2}{5}, \frac{4}{5}\right)\)
  3. (6, 4)
  4. (3, 5)

Answer

(B) (- 2 5 , 4 5 ), (C) (6, 4)

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