Standard +0.3 This is a straightforward Further Maths loci question requiring students to identify and shade the intersection of a disc (circle with interior) and a half-plane. While it involves two conditions, both are standard loci types with no algebraic manipulation needed—just geometric interpretation and careful shading. Slightly easier than average due to its routine nature.
Correct shading and continuous lines; the shaded region is the required locus
B1
Must state which region is the required locus
## Question 4:
| Answer | Marks | Guidance |
|--------|-------|----------|
| A circle with centre $3+4i$ | M1 | Accept the correct minor arc alone |
| passing through origin | A1 | |
| A line parallel to $y$-axis through $1$ | B1 | Accept the correct line segment alone |
| Correct shading and continuous lines; the shaded region is the required locus | B1 | Must state which region is the required locus |
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4 Draw the region of the Argand diagram for which $| z - 3 - 4 i | \leq 5$ and $| z | \leq | z - 2 |$.
\hfill \mbox{\textit{OCR Further Pure Core AS Q4 [4]}}