Three distinct points A,B and C are given in the two dimensional coordinate plane such that the ratio of the distance of any one of them from the point (1,0) to the distance from the point (−1,0) is equal to 13. If the circumcentre of the triangle ABC is at the point (ab,0) a,b∈N and coprime, then value of a+b is

Three distinct points A,B and C are given in the two dimensional coord

1.	Three distinct points A,B and C are given in the two dimensional coordinate plane such that the ratio of the distance of any one of them from the point (1,0) to the distance from the point (−1,0) is equal to 13. If the circumcentre of the triangle ABC is at the point (ab,0) a,b∈N and coprime, then value of a+b is
Answer» Three distinct points $A, B$ and $C$ are given in the two dimensional coordinate plane such that the ratio of the distance of any one of them from the point $(1, 0)$ to the distance from the point $(- 1, 0)$ is equal to $\frac{1}{3}$ . If the circumcentre of the triangle $A B C$ is at the point $(\frac{a}{b}, 0) a, b \in N$ and coprime, then value of $a + b$ is