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Questions  

In the Argand plane, the points represented by the complex numbers 3+4i, 32(7+i)(1+i),(1+18i),(5+10i)   form

a
a parallelogram
b
rectangle
c
square
d
rhombus

detailed solution

Correct option is C

We have A(3,4), B(9,12), C(1,18), D(−5,10) and AB=BC=CD=DA       Also AC=BD∴ABCD is a Square

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The condition for the points  z1,z2, z3, z4  taken in order in the Argand plane to be the vertices of a parallelogram is


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