A circle `C` of radius 1 is inscribed in an equilateral triangle `PQR`. The points of contact of `C`
Channel: Doubtnut
Date: 12/04/2020

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 and D, E, F` respectively. The line `PQ` is given by the equation `sqrt(3) +y-6=0` and the point `D` is `((sqrt(3))/(2), 3/2)` The equation of circle `C` is : (A) `(x-2sqrt(3))^2 + (y-1)^2 = 1` (B) `(x-2sqrt(3))^2 + (y+1/2)^2 = 1` (C) `(x-sqrt(3))^2 + (y+1)^2 = 1` (D)` (x-sqrt(3))^2 + (y-1)^2 =1`