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JEE Math Practice Question

The centres of a set of circles, each of radius 3, lie on the circle $${x^2}\, + \,{y^2} = 25$$. The locus of any point in the set is :

  1. A.$$4\, \le \,\,{x^2}\, + \,{y^2}\, \le \,\,64$$
  2. B.$${x^2}\, + \,{y^2}\, \le \,\,25$$
  3. C.$${x^2}\, + \,{y^2}\, \ge \,\,25$$
  4. D.$$3\, \le \,\,{x^2}\, + \,{y^2}\, \le \,\,9$$

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