# JEE Circles 2

**Geometry**Level 3

If the circle passing through distinct points \((1,t), (t,1),(t,t)\ \forall\ t\in R\) also passes through a fixed point \((a,b)\), then calculate argument of complex number \(a+ib\) in radians.

**Details and Assumptions**

- Answer\(\in (0,2\pi)\)