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Let O(0,0),A(2,0),a n dB(1 1/(sqrt(3))) ...

Let `O(0,0),A(2,0),a n dB(1 1/(sqrt(3)))` be the vertices of a triangle. Let `R` be the region consisting of all those points `P` inside ` O A B` which satisfy `d(P , O A)lt=min[d(p ,O B),d(P ,A B)]` , where `d` denotes the distance from the point to the corresponding line. Sketch the region `R` and find its area.

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The correct Answer is:
`(2-sqrt(3))` sq units
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