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Consider a rectangle ABCD formed by the ...

Consider a rectangle ABCD formed by the points A=(0,0), B= (6, 0), C =(6, 4) and D =(0,4), P (x, y) is a moving interior point of the rectangle, moving in such a way that `d (P, AB)le min {d (P, BC), d (P, CD) and d (P, AD)}` here d (P, AB), d (P, BC), d (P, CD) and d (P, AD) represent the distance of the point P from the sides AB, BC, CD and AD respectively. Area of the region representing all possible positions of the point P is equal to

A

8 sq. units

B

4 sq. units

C

12 sq. units

D

6 sq. units

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A
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