(main)[6]
Find all complex numbers $z$ such that $\displaystyle \frac{z + 4}{z + 4i}$ is real and $|z| = \sqrt{10}$. Give your answers in the form $z = x + iy$, where $x$ and $y$ are real.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Multiply both the numerator and the denominator by the conjugate” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI