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

For points `P-=(x_1,y_1)` and `Q-=(x_2,y_2)` of the coordinates 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)` and `A-=(3,2)`. Consider the set of points P in the first quadrant which are equidistant (with respect to the new distance) from O and A.
The set of poitns P consists of

A

one straight line only

B

union of two line segments

C

union of two infinite rays

D

union of a line segment of finite length and an infinite ray

Text Solution

Verified by Experts

The correct Answer is:
D

Obviously, the locus of P is the union of line segment and one infinite ray.
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