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JEE Advance - Mathematics (2003 - No. 12)

If the angles of a triangle are in the ratio $$4:1:1$$, then the ratio of the longest side to the perimeter is
$$\sqrt 3 :\left( {2 + \sqrt 3 } \right)$$
$$1:6$$
$$1:2 + \sqrt 3 $$
$$2:3$$

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