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 `sqrt3 x+ y -6 = 0` and the point D is (3 sqrt3/2, 3/2). Further, it is given that the origin and the centre of C are on the same side of the line PQ. (1)The equation of circle C is (2)Points E and F are given by (3)Equation of the sides QR, RP areA. `((sqrt3)/(2),(3)/(2)),(sqrt3,0)`B. `((sqrt3)/(2),(1)/(2)),(sqrt3,0)`C. `((sqrt3)/(2),(1)/(2)),((sqrt3)/(2),(1)/(2))`D. `((3)/(2),(sqrt3)/(2)),((sqrt3)/(2),(1)/(2))`

A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th

1.	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 `sqrt3 x+ y -6 = 0` and the point D is (3 sqrt3/2, 3/2). Further, it is given that the origin and the centre of C are on the same side of the line PQ. (1)The equation of circle C is (2)Points E and F are given by (3)Equation of the sides QR, RP areA. `((sqrt3)/(2),(3)/(2)),(sqrt3,0)`B. `((sqrt3)/(2),(1)/(2)),(sqrt3,0)`C. `((sqrt3)/(2),(1)/(2)),((sqrt3)/(2),(1)/(2))`D. `((3)/(2),(sqrt3)/(2)),((sqrt3)/(2),(1)/(2))`
Answer» Correct Answer - A

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