KILLER Complex Numbers Question (HSC 2023)

This question from the recent HSC Maths Extension 2 Exam tests is on Complex Relations in the Argand plane. This is also covered in VCE Specialist Mathematics (although it's unlikely you would have something this difficult on your exam next week - I hope!). Good practice anyway if you're keen for a challenge.
IMHO there is also an ambiguity in the question that I address at the end of the video.

[@edsirett3860]

Quite often examination boards put a significantly harder question at the end of the paper. A well prepared student will be able to get a very good grade without answering it. The purpose is to sort the good from the exceptionally able.
The press on another day might easily be critical of what they judge to be a question that is too easy, serving an analogous function for less able or prepared students.

[@MathsWithMrLim]

Agree 100% 😀

[@perkinsons6913]

Hey what are your predictions for any hard questions to pop up for this years VCAA spesh exam?

[@MathsWithMrLim]

Exam 1 probably a tricky integral - maybe surface area integral. Don't forget modulus when integrating logs or simplifying sqrt((ax+b)^2) - that's a common gotcha.

[@evan.5967]

@@MathsWithMrLim wait how to simplify sqrt((ax+b)^2)

[@Ezallium]

@@evan.5967 abs(ax+b)

[@gravy2973]

where am I

[@liemhuynh7657]

Can’t x be equal to y though because the reflection is never truly on the horizontal axis?

[@MathsWithMrLim]

Agreed. Well done and thank you for pointing that out. Again, I'm glad I didn't have to sit this exam! 😅

[@gag7413]

im just a little methods kid why am i here

[@MathsWithMrLim]

Haha well if methods kids go on to study engineering they still end up learning complex numbers