Imaginary Information

Algebra Level 4

If the imaginary part of 2 z + 1 i z + 1 \dfrac{2z+1}{i z +1} is 2 -2 , then what is the locus of z z in argand plane?

Clarification : i = 1 i=\sqrt{-1} .

Ellipse Straight line Circle A single point on argand plane

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1 solution

Aakash Khandelwal
Apr 10, 2016

Cross multiplying

2 ( z + i z ) + 3 = 0 2(z+iz) + 3=0 .

A straight line in argand plane

Can you please elaborate your solution so that everyone can understand it? @Aakash Khandelwal

Sandeep Bhardwaj - 5 years, 2 months ago

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