Let S = (0, 2 ) : 7 ^ 2 - 3 ^ 2 - 2 ^ 2 2 = 2 . Then, the sum of roots of all the equations x^ 2 - 2( ^ 2 + ^ 2 )x + 6 ^ 2 = 0, S, is _____.

JEE Main 2022 Mathematics question

Let (0, ) : = 2}. Then, the sum of roots of all the equations , S, is .

Answer: 16

gives , i.e. , so , which gives cos (cos $2θ

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Question ID VK-035156