FP2 loci question.

Hello,

I have been studying FP1 (finished) and now FP2 this summer. I've just finished FP2 complex numbers, and can do all the other questions in the last exercise, but this is bothering me!

I understand where P and Q are, but I'm failing to see an easy method of finding the coordinates of P and Q.

This is probably one of those moments where I'll slap myself for not seeing an obvious solution, but I would appreciate any help

I think what may have been confusing me is that the book says that the minimum value of mod(z) is 3. It's 1, is it not?

Posted from TSR Mobile

yes ...2 -1 = 3 NOT


to find Q it is best to draw a diagram. the triangle OQC where O is the origin and C is the centre of the circle is congruent to triangle OQR where R is the point where the circle meets the x axis. it is straightforward to find OQ ( = OR ) using Pythagoras, then find the coordinates of Q using trig.