JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

z_1, z_2, z_3

and

z_4

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

z_1-z_4=z_2-z_3

and

\operatorname{amp}\left(\frac{z_4-z_1}{z_2-z_1}\right)=\frac{\pi}{2}

, then the quadrilateral is a

View answer and explanation

Correct option: C

cyclic quadrilateral

Option C (cyclic quadrilateral) is correct because the given conditions imply that the quadrilateral is a rectangle, which is a cyclic quadrilateral.

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