O-LevelAdditional MathematicsStraight line graphs4037/12 · Oct/Nov 2025 · Q76 Marks
The point A has coordinates (-2, 4). The point B has coordinates (6, 10). The point C has coordinates (12, 2).
- (a)Find the gradients of the lines AB, AC and BC.[2]
- (b)Hence find the equation of the circle which passes through the points A, B and C.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [2] B1 for 2 correct unsimplified gradients
- [4] B1 FT on their diameter, allow for (2, 7) or (9, 6)
- M1 for use of their centre and coordinates of either A, B or C to find the square of the radius or the radius. Centre must not be A, B or C. or Finding the length between any 2 points A, B or C and halving it.
- A1 (x-5)² +(y-3)² = 50 oe
- A1 Allow (5√2)² for radius²
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