In each paragraph 3 multiple choice questions are given. Each of these questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
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 and then the point D is Further, it is given that the origin and the center C are on the same side of the line PQ.
The equation of the circle C is