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 R (x,y), such that R is equidistant from the points O and A with respect to new distance and if `0 < x < 1` and `0 < y < 2` then R lie on a line segment whose equation is

Options

A. x+y=3
B. x+2y=3
C. 2x+y=3
D. 2x+2y=3

Answer

D