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JEE Math Practice Question

Two tangents are drawn from the point P($$-$$1, 1) to the circle x2 + y2 $$-$$ 2x $$-$$ 6y + 6 = 0. If these tangents touch the circle at points A and B, and if D is a point on the circle such that length of the segments AB and AD are equal, then the area of the triangle ABD is equal to :

  1. A.2
  2. B.$$(3\sqrt 2 + 2)$$
  3. C.4
  4. D.$$3(\sqrt 2 - 1)$$

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