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Q.

A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points of contact of C with the sides PQ, QR, RP are D, E, F, respectively. The line PQ is given by the equation 3x+y6=0 and the point D is 332,32. Further it is given that the origin and the centre C are on the same side of the line PQ

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