For points `P-=(x_1y_1)` and `Q-=(x_2,y_2)` of the coordinate plane, a new distance d(P,Q) is defined by d`(P,Q)=|X_1-X_2|+|y_1-y_2|` Let` O=(0,0),A=(1,2), B-=(2,3) and C-=(4,3)` are four fixed points on x-y plane
Answer the following questions based on above passage:
Let S(x,y), such that S is equidistant from the points O and B with respect to new distance and if `xge2` and `0leylt3`, then locus of S is

Options

A. a line segment of finite length
B. a line of infinite length
C. a ray of finite length
D. a ray of infinite length

Answer

D