Qualification > Math

Needs help with complex numbers

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Priya:
Can you explain how to do the last part...

At the same time, I would be really grateful if you could explain how do do maximum of z, least argument and maximum argument...

Thank you very much for all the help!

astarmathsandphysics:


Minimum of |z-(i+i)|=d-r where d is the distance of the centre of the circle from the origin and r is the radius=1

d=
so ans

astarmathsandphysics:
Maximum value of z=greatest distance from origin. There is usually some trickery involved. In this case it is distance of centre of circle from origin +radius of circle.

Greatest argument is biggest angle that the locus makes with the x axis when you go anticlockwise from the positive x axis. In this case the maximum argument is pi/2 and the minimum argument is 0

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