If a circle passes though the point (a, b) and cuts the circle x^ 2 +y^ 2 =4…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

If a circle passes though the point (a, b) and cuts the circle\(x^{2}+y^{2}=4\) orthogonally, then the locus of its centre is
  1. \(2 a x+2 b y+\left[a^{2}+b^{2}+4\right]=0\)
  2. \(2 a x+2 b y-\left[a^{2}+b^{2}+4\right]=0\)
  3. \(2 a x-2 b y+\left[a^{2}+b^{2}+4\right]=0\)
  4. \(2 a x-2 b y-\left[a^{2}+b^{2}+4\right]=0\)

Answer

(B) 2 a x+2 b y- [a^ 2 +b^ 2 +4 ]=0

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