JEE Main Mathematics question

If be vertices of an equilateral triangle occurring in the anticlockwise sense, then

(A)
(B)
(C)Correct
(D)None of these

Answer: (C)

Solution

Taking , , (anticlockwise on the unit circle), ; the relation is preserved under rotation, scaling and translation, so it holds for every anticlockwise equilateral triangle. The correct identity for an

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Question ID VK-014010