Find the Cartesian inequation for the region represented by

| z−3+7 i | ≤

13

| z+8+5 i |

Please put your answer in a "natural" form.Note. The inequality sign ≤ is entered as the pair of consecutive symbols: <=

Also note that Maple rewrites inequalities that have been entered using >= (i.e. ≥ ) in terms of ≤ (and sometimes it does this in a quite inelegant way!)
Answer:
You have not attempted this yet

2.2 (1 mark)

If you haven't already done so, complete the square for the terms in x and complete the square for the terms in y, and hence deduce that the locus of points satisfied by the relation is associated with a circle. What is the centre of that circle? Enter your answer as a complex number in the form: x + y i for real numbers x, y. centre = You have not attempted this yet

2.3 (1 mark)

What is the radius of the circle referred to in part 2? radius = You have not attempted this yet

2.4 (1 mark)

The locus of points satisfied by the relation is which of the following?

A	The entire region outside the circle.
B	The circle only.
C	A closed disc (i.e. the interior of the circle and its circular boundary).
D	An open disc, namely the interior of the circle.
E	The union of the circle and the region outside it.
F	None of the above