Question

Establish a relation between object distance, image distance and radius of curvature of a concave mirror

Answer 1

2/R= 1/u+1/v
here is your answer which you want

Answer 2

According to the mirror formula

1/f=1/v +1/u

For a concave mirror

-1/f =-1/v-1/u

f=r/2

-2/r=-1/v-1/u

By manipulating it u get

R=2uv/u+v