Consider the triangle having vertices \( O(0,0), A(2,0) \), and \( ...

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Consider the triangle having vertices \( O(0,0), A(2,0) \), and \( B(1, \sqrt{3}) \). Also, \( b \leq \min \left\{a_{1}, a_{2}, a_{3}, \ldots, a_{n}\right\} \) means \( b \leq a_{1} \) when \( a_{1} \)
\( \mathrm{P} \) is least; \( b \leq a_{2} \) when \( a_{2} \) is least, and so on. From this, we can say

W \( b \leq a_{1}, b \leq a_{2}, \ldots, b \leq a_{n} \)
Let \( R \) be the region consisting of all those points \( P \) inside \( \triangle O A B \) which satisfy \( O P \leq \min [B P, A P] \). Then the area of the region \( R \) is
(1) \( \sqrt{3} \) sq. units
(2) \( 1 / \sqrt{3} \) sq. units
'(3) \( \sqrt{3} / 2 \) sq. units
(4) none of these
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