JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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{z_1},\;{z_2},\;{z_3},\;{z_4}

are four complex numbers represented by the vertices of a quadrilateral taken in order such that

{z_1} - {z_4} = {z_2} - {z_3}\;\;\mathrm{and}\;\arg \left( {\frac{{{z_4} - {z_1}}}{{{z_2} - {z_1}}}} \right) = \frac{\pi }{2},\;

then the quadrilateral is

View answer and explanation

Correct option: B

A rectangle

Option B is correct because the quadrilateral is a rectangle, as the diagonals bisect each other and one angle is

\frac{\pi}{2}

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