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A circle C whose radius is 1 unit touches the x-axis at point A. The center Q of C lies in the first quadrant. The tangent from the origin O to the circle touches it at T and a point P lies on its such that is a right - angles triangle at A and its perimeter is 8 units.
The length of PQ is

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Question Text
A circle C whose radius is 1 unit touches the x-axis at point A. The center Q of C lies in the first quadrant. The tangent from the origin O to the circle touches it at T and a point P lies on its such that is a right - angles triangle at A and its perimeter is 8 units.
The length of PQ is