IIT JEE 1983 Maths - MCQ Question 17

Algebra Level 2

For points z 1 z_1 , z 2 z_2 , z 3 z_3 , and z 4 z_4 in the complex plane to be the vertices of a parallelogram taken in that order, which one of the conditions is necessary?

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z 1 + z 4 = z 2 + z 3 z_1+z_4=z_2+z_3 z 1 + z 3 = z 2 + z 4 z_1+z_3=z_2+z_4 None of the others z 1 + z 2 = z 3 + z 4 z_1+z_2=z_3+z_4

Shubhamkar Ayare by Shubhamkar Ayare , 22, India

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1 solution

Prakhar Bindal
Feb 26, 2017

A Quadrilateral is a parallelogram if its diagonals bisect each other. hence their midpoints must coincide

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