If the tangent to the curve \( y=x+\sin y \) at a point \( (a, b) \) is parallel to the line joining \( \left(0, \frac{3…

If the tangent to the curve \( y=x+\sin y \) at a point \( (a, b) \) is parallel to the line joining \( \left(0, \frac{3}{2}\right) \) and \( \left(\frac{1}{2}, 2\right) \), then :

[JEE Main 2020, 2 Sep (Shift 1)]