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For points P -= (x(1) ,y(1)) and Q = (x(...

For points `P -= (x_(1) ,y_(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
Let R(x,y) such that R is equisdistant from tthe point O and A with respect to new distance and if ` 0 le x lt 1 and 0 le y lt 2`, then R lie on a line segment whose equation is

A

`x+y=3`

B

`x+2y=3`

C

`2x+y=3`

D

`2x+2y=3`

Text Solution

Verified by Experts

The correct Answer is:
D
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