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AB, AC are two radii of circle inclined ...

`AB, AC` are two radii of circle inclined at an angle of `60^@`. Upon AC a point P is taken such that a circle can be described with centre P to touch the first circle internally and also to touch the circle with AB as diameter, externally. If `AB = 2 cm`, then the length of AP is (A) `4/5` (B) `8/5` (C) `3/2` (D) `4/3`

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