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For points \( P \equiv\left(x_{1}, y_{1}\right) \) and \( Q \equiv\left(x_{2}, y_{2}\right) \) of the coordinate plane, a
\( \mathrm{P} \) new distance \( d(P, Q) \) is defined by \( d(P, Q)=\left|x_{1}-x_{2}\right|+\left|y_{1}-y_{2}\right| \). Let \( O \equiv(0,0) \) and \( A \equiv(3,2) \). Consider the set of points \( P \) in
W the first quadrant which are equidistant (with respect to the new distance) from \( O \) and \( A \).
The set of points \( P \) consists of
(1) one straight line only
(2) union of two line segments
(3) union of two infinite rays
(4) union of a line segment of finite length and an infinite ray
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