PJC P2 Q1

The complex numbers *a* and *b* are given by and respectively.

(i) On a single Argand diagram, sketch the loci

(a)

(b)

(ii) Find the range of where is the complex number that satisfies the relationships in part (i)

PJC P2 Q1

The complex numbers *a* and *b* are given by and respectively.

(i) On a single Argand diagram, sketch the loci

(a)

(b)

(ii) Find the range of where is the complex number that satisfies the relationships in part (i)