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JEE Math Practice Question

If a circle passes through the point (a, b) and cuts the circle $${x^2}\, + \,{y^2} = 4$$ orthogonally, then the locus of its centre is :

  1. A.$$2ax\, - 2by\, - ({a^2}\, + \,{b^2} + 4) = 0$$
  2. B.$$2ax\, + 2by\, - ({a^2}\, + \,{b^2} + 4) = 0$$
  3. C.$$2ax\, - 2by\, + ({a^2}\, + \,{b^2} + 4) = 0$$
  4. D.$$2ax\, + 2by\, + ({a^2}\, + \,{b^2} + 4) = 0$$

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