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1/z is the conjugate of z, no? so l 1+1/z l = l 1+z-iy l = sqrt([1+z]^2 + [y]^2) Square both sides, and you get a circle...

Qns 1, 2, 3 were easy enough. Qn 4c was weird? I didn't know that differential equations were in the syllabus. Got parts i), ii). Blanked on part iii). Qn 5ciii) I didn't get during the exam, but was explained to me later - needed similar triangles... Qn 6 HOLY SHIT the mechanics was hard...

Personally, the trigonometric applications of complex numbers are the worst for me, closely followed by inequalities and circle geometry in Harder Extension 1. I don't find the induction or probability in Harder Ext. 1 overly hard though... Volumes, polynomials, curve sketching and...