If z_r (r=0,1,2, ,6) be the roots of the equation (z+1)^7+z^7=0, then _ r=0 ^6 Re (z_r )=

JEE Main Mathematics question

If be the roots of the equation , then

Answer: (D)

Expanding, , so the sum of the seven roots is . The

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Question ID VK-014003