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For points P-=(x1y1) and Q-=(x2,y2) of t...

For points `P-=(x_1y_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
Answer the following questions based on above passage:
Let S(x,y), such that S is equidistant from the points O and B with respect to new distance and if `xge2` and `0leylt3`, then locus of S is

A

2sq.units

B

4 sq.units

C

6 sq.units

D

noen of these

Text Solution

Verified by Experts

The correct Answer is:
B

Area of region `OBCDEFO`
`A="Area of trapezium" OBCF+"Area of rectangle"FCDE`
`=(1)/(2)xx((5)/(2)+(1)/(2))xx2+(1)/(2)xx2`
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