Question

if a is complex number and b is a real number then the equation az+bz+b=0
represent

Answer 1

See the attachment for detail solution
Hope it will help you

Answer 2

Answer: equation az+bz+b=0 represent a circle centered at origin.

Step-by-step explanation:

Given a is complex number and b is a real number so a + b will be a complex number.

Given equation

az+bz+b=0

(a+b)z+b=0

So z = -b/(a+b)

And  ∣z∣ = ∣b∣/∣a+b∣ which is constant.

∵a+b is a complex number and ∣z∣ is constant.

∴This represent a circle centered at origin whose radius is ∣b∣/∣a+b∣