For points \( P \equiv\left(x_{1}, y_{1}\right) \) and \( Q \equiv\left(x_{2}, y_{2}\right) \) of the coordinate plane, a new distance \( d(P, Q) \) is defined by \( d(P, Q)=\left|x_{1}-x_{2}\right|+\left|y_{1}-y_{2}\right| \).
P 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 locus of point \( P \) is
(1) one-one and onto function
(2) many-one and onto function
(3) one-one and into function
(4) relation but not function
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