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JEE Math Practice Question

The locus of the centres of the circles, which touch the circle, x2 + y2 = 1 externally, also touch the y-axis and lie in the first quadrant, is :

  1. A.$$x = \sqrt {1 + 2y} ,y \ge 0$$
  2. B.$$y = \sqrt {1 + 2x} ,x \ge 0$$
  3. C.$$y = \sqrt {1 + 4x} ,x \ge 0$$
  4. D.$$x = \sqrt {1 + 4y} ,y \ge 0$$

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