Question

Circumcircle of an equilateral triangle ABC is x^2+y^2+2gx+2fy=0.Then its incircle is ?

Answer 1

incenter and circumcenter of equiliateral triangle coincide

Answer 2

note that the given circle passes through origin

Answer 3

the centre would be same for both circles, calculate radius of circumcircle.. using that result u can calculate radius of incircle

Answer 4

just construct a good figure and you'll get it
you'll have to make use of the length of radius of circumcircle and one angle 30 degrees