If a circle passes through the point (a, b) & cuts the circle x 2 + y 2 = K 2…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

If a circle passes through the point (a, b) & cuts the circle x2 + y2 = K2 orthogonally, then the equation of the locus of its centre is :
  1. 2ax + 2by – (a2 + b2 + K2) = 0
  2. 2ax + 2by – (a2 – b2 + K2) = 0
  3. x2 + y2 – 3ax – 4by + (a2 + b2 – K2) = 0
  4. x2 + y2 – 2ax – 3by + (a2 – b2 – K2) = 0

Answer

(A) 2ax + 2by – (a 2 + b 2 + K 2 ) = 0

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