IIT JEE Advanced 2008 Paper 1

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Paragraph for Questions 64–66:
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 + y - 6 = 0 and the point D is (
33
2
,
3
2
)
. Further, it is given that the origin and the centre C are on the same side of the line PQ.
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