JEE Main Mathematics question

Mathematics Complex Numbers JEE Main

Let be the vertices of an equilateral triangle in the Argand plane, then the number is

(A)Purely real
(B)Purely imaginaryCorrect
(C)A complex number with non-zero real and imaginary parts
(D)None of these

Answer: (B)

Solution

is the vector from the midpoint of to , i.e. the median of the triangle. In an equilateral triangle the

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Question ID VK-013929