[Solved] For any integer k, let \\alpha_k = \\cos \\left(\\frac{k\\pi}{7}\\right) + i \\sin \\left(\\frac{k\\pi}{7}\\right), where i = \\sqrt -1. The value of the expression \\frac{\\sum_{k = 1}^{12}|\\alpha_{k + 1} - \\alpha_k|}{\\sum_{k = 1}^{3}|\\alpha_{4k - 1} - \\alpha_{4k - 2}|} is - - JEE (Advanced) 2015 Paper-2