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For points P-=(x1, y1) and Q-=(x2, y2) o...

For points `P-=(x_1, y_1)` and `Q-=(x_2, y_2)` of the coordinate plane, a new distance `d(P ,Q)=|x_1x_1|+|y_1-y_2|dot` Let `O=(0,0)` and `A=(3,2)` . Prove that the set of points in the first quadrant which are equidistant (with respect to the new distance) from `O` and `A` consists of the union of a line segment of finite length and an infinite ray. Sketch this set in a labelled diagram.

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