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if A(z1),B(z2),C(z3),D(z4) lies on |z|=...

if `A(z_1),B(z_2),C(z_3),D(z_4)` lies on |z|=4 (taken in order) , where `z_1+z_2+z_3+z_4=0` then :

A

a rectangle

B

a square

C

a rhombus

D

None of these

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Knowledge Check

  • If z_1, z_2, z_3, z_4 be the vertices of a quadrilateral taken in order such that z_1 + z_3 = z_2 + z_4 and |z_1 – z_3| = |z_2 -z_4| , then arg ((z_1-z_2)/(z_3-z_2)) =

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