9709 P32 - Mar 2026 - Q2 - 4 marks
4325
The complex number \(z\) satisfies \(\lvert z\rvert=9\) and \(\frac\pi2\le\arg z\le\pi\).
(a) On the Argand diagram, sketch the locus of the points representing \(z\). [2]
(b) On the same diagram, sketch the locus of the points representing \(z^*+3\). [2]
