Locus q (1 Viewer)

[=)(=]

I don't quite fully understand part b and c

 

[jimmysmith560]

Would the following working help?





Part (a):

Since



This is a circle with centre the origin and the radius equal to the modulus of w, as follows:



Part (b):

This is a circle with centre w and the radius equal to twice the modulus of w, as follows:



Part (c):

This is the perpendicular bisector of the line segment through w and the origin, as follows:

 

[=)(=]

Would the following working help?





Part (a):

Since



This is a circle with centre the origin and the radius equal to the modulus of w, as follows:

View attachment 35507

Part (b):

This is a circle with centre w and the radius equal to twice the modulus of w, as follows:

View attachment 35508

Part (c):

This is the perpendicular bisector of the line segment through w and the origin, as follows:

View attachment 35509

im still unsure about c

 

[yanujw]

im still unsure about c

Interpret this as |z-w| = |z-0|, which means the distance from w must be the same as the distance from the point 0. The midpoint of 0 and w (0.5 + 1.5i) is one such point, and it follows that the line perpendicular line passing through this point retains this property.

 

[vishnay]

im still unsure about c

just substitute in if ur ever unsure

 

[=)(=]

Makes sense now thanks guys