[Solved] Two parallel chords of a circle of radius 2 are at a distance \\sqrt{3} + 1 apart. If the chords subtend at the center, angles of \\frac{\\pi}{k} and \\frac{2 \\pi}{k}, where k > 0, then the value of [k] is [Note : [k] denotes the largest integer less then or equal to k] - - JEE (Advanced) 2010 Paper-2