Paper 1Short responseTechnology-freeCP1

Question 1 · 7 marks

Spec and skills
  • Spec CP1
Let z=a+biz = a + b i, where aa and bb are real and not both zero.
(a)
Show that zzˉ=∣z∣2z \bar{z} = |z|^{2}.
2 marks

Multiply zz by its conjugate zˉ=a−bi\bar{z} = a - b i, using i2=−1i^{2} = -1.

(a+bi)(a−bi)=(a + b i)(a - b i) =

Start with the key line of working.

Independent preparation for QCE Specialist Mathematics Units 3 and 4. Not affiliated with or endorsed by the Queensland Curriculum and Assessment Authority (QCAA).