9709 · topic questions
Coordinate geometry
12 past-paper questions on Coordinate geometry
The circle with equation x² +y²-6x+10y-27 = 0 intersects the line x =-2 at the points P and Q. Find the area of the triangle…
Practise the full question →A circle with equation x² + y²-6x+2y-15 = 0 meets the y-axis at the points A and B. The tangents to the circle at A and B meet at…
Practise the full question →The equation of a circle is (x-3)² +y² = 18. The line with equation y = mx+c passes through the point (0,-9) and is a tangent to…
Practise the full question →It is now given that k = 10. A circle passes through the points P, Q and R. Find the equation of the tangent to the circle at R.…
Practise the full question →Find the values of p and q.
Practise the full question →Find the two possible equations of the circle.
Practise the full question →The equation of a curve is 2x² - kxy+2 = 0 and the equation of a line is y = px+3, where k and p are constants. (a) Given that k…
Practise the full question →Points A and B have coordinates (4, 3) and (8, -5) respectively. A circle with radius 10 passes through the points A and B. Show…
Practise the full question →Circles C₁ and C₂ have equations x² + y² + 6x-10y+18 = 0 and (x-9)² + (y + 4)² – 64 = 0 respectively. Find the distance between…
Practise the full question →Three points P, Q and R have coordinates P(−13, 5), Q(5, 1) and R(2, k), where k is a constant. It is given that the angle PRQ is…
Practise the full question →Find the coordinates of the points of intersection of the curve and the line with equations 2xy+5y² = 24 and 2x+y+4 = 0.
Practise the full question →P and Q are points on C₁ and C₂ respectively. The distance between P and Q is denoted by d. Find the greatest and least possible…
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Coordinate geometry (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Coordinate geometry. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
Frequently asked questions
- How many Coordinate geometry questions are there for 9709?
- This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Coordinate geometry. Each links straight to instant marking against the official 9709 scheme.
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- Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
- Where can I learn Coordinate geometry first?
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