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Let O(0, 0) and B(1,(1)/(sqrt(3))) be th...

Let O(0, 0) and `B(1,(1)/(sqrt(3)))` be the vertices of a triangle. Let R be the region consisting of all those points P inside `Delta OAB` satisfying. `d(P,OA) lr` min `{d(P,OB), d(P,AB)}`, where d denotes the distance from the point P to the corresponding line. Let M be peak of region R.
The perimeter of region R is equal to

A

`sqrt(3)`

B

`(1)/(sqrt(3))`

C

3

D

`2-sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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