Correct Answer - C
`1/f=1/(OB)-1/(-OA)=1/(OB)+1/(OA)`
`f=((OA)(OB))/(AB+OB)`
`:. f=((OA)(OB))/(AB)….(i)`
Now, `AB^2=AC^2+BC^2`
or `(OA+OB)^2=AC^2+BC^2`
or `OA^2+OB^2+2(OA)(OB)=AC^2+BC^2`
`:. (AC^2-OC^2)+(BC^2-OC^2)`
`+2(OA)(OB)=AC^2+BC^2`
Solving, we get
`(OA)(OB)=OC^2`
Substituting in Eq. (i), we get
`f=(OC^2)/(AB)`