# Topic Questions: • use algebraic methods to solve problems involving lines and circles — 9709 P1 Coordinate geometry

> 95 9709 P1 Coordinate geometry topic questions (386 marks) on use algebraic methods to solve problems involving… — 44 papers, 2020–2026. Open the exact…

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CIE IAL · Mathematics · 9709 P1 · Coordinate geometry

95 9709 P1 Coordinate geometry topic questions are tagged to this syllabus point across 44 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.

- 95 topic questions
- 44 papers
- 386 tagged marks
- 51.1% of topic questions
- 57.1% of topic marks
- 2020–2026
- Syllabus 2020–2027
- [All 9709 P1 Coordinate geometry topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/coordinate-geometry/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**This Coordinate geometry syllabus point appears in 44 9709 P1 papers across 2020–2026, contributing 95 topic questions and 386 marks.** The most recent appearance is 9709/11 May/June 2026. That equals 51.1% of the 186 topic questions and 57.1% of the 676 marks tagged to Coordinate geometry. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history.

## Topic questions by session

Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use **Go to Practice Hub** to answer that exact question in the Interactive Practice Hub.

| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
| --- | --- | --- | --- | --- | --- | --- |
| [**9709/11** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2026-may-june-9709-11/#q-11) | **Q11** Area of Quadrilateral Formed by Circle Tangents - CIE Mathematics 2026 Jun Paper 11 Q11 | FRQ | 1 part | 9 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ae15673e-ee78-475a-835f-2e371379ec60&question_id=8086059f-8cb6-41a8-a7b0-e6e388099845&source_detail=9709%2F11+May%2FJune+2026) |
| [**9709/12** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2026-may-june-9709-12/#q-8) | **Q8** Circle Equation and Chord Length - CIE A-Level Maths 2026 Jun Paper 12 Q8 | FRQ | 1 of 2 parts ((b)) | 7 of 11 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=11194fbb-d7f0-45e6-87b6-973cdafbc920&question_id=24fe9184-d187-4ebf-8ac2-4ba8038468d5&source_detail=9709%2F12+May%2FJune+2026) |
| [**9709/13** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2026-may-june-9709-13/#q-11) | **Q11** Circle Equation, Tangents and Area - CIE Pure Mathematics 2026 Jun Q11 | FRQ | 2 of 3 parts ((b), (c)) | 9 of 12 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5c301d7d-a56c-4cc7-82a9-7cbdd00118aa&question_id=ddc8734f-25f1-43d1-9802-73f790be345e&source_detail=9709%2F13+May%2FJune+2026) |
| [**9709/15** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2026-may-june-9709-15/#q-6) | **Q6** Line and Curve Intersection Discriminant - CIE Pure Mathematics 2026 Jun Paper 15 Q6 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=05b20104-0aad-4794-b387-5aaa042ea528&question_id=e94961e0-5fab-4d42-8516-14f06a3ef4ae&source_detail=9709%2F15+May%2FJune+2026) |
| [**9709/15** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2026-may-june-9709-15/#q-11) | **Q11** Circle Tangents and Segment Area - CIE Pure Mathematics 2026 Jun Paper 15 Q11 | FRQ | 1 of 2 parts ((a)) | 4 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=05b20104-0aad-4794-b387-5aaa042ea528&question_id=784d11a8-06c9-4fac-a397-700c13d27a9b&source_detail=9709%2F15+May%2FJune+2026) |
| [**9709/11** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-october-november-9709-11/#q-10) | **Q10** Line Circle Intersection and Triangle Area - CIE Pure Mathematics Q10 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0c325ec6-bdf5-4ae4-ac30-939cb67887d9&question_id=52be0757-83bf-4269-8b84-5c7ce5687e72&source_detail=9709%2F11+October%2FNovember+2025) |
| [**9709/12** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-october-november-9709-12/#q-7) | **Q7** Circle Equation and Intersection of Tangents - CIE A-Level Maths 2025 Nov Paper 12 Q7 | FRQ | 3 parts ((a), (b), (c)) | 11 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c80cfa73-10a0-4c4a-a902-9f861759760f&question_id=a18c6000-1a43-4fba-af66-b7559c1430ef&source_detail=9709%2F12+October%2FNovember+2025) |
| [**9709/13** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-october-november-9709-13/#q-8) | **Q8** Circle Equation and Tangents - CIE A-Level Maths 2025 Q8 | FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e2f1c749-8d4d-4dab-a70a-50dff746f805&question_id=efbb32c8-d7b6-48c4-a3aa-5785bf6f3f3a&source_detail=9709%2F13+October%2FNovember+2025) |
| [**9709/15** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-october-november-9709-15/#q-1) | **Q1** Equation and Points on a Circle - CIE Mathematics 2025 Nov Paper 15 Q1 | FRQ | 1 of 2 parts ((b)) | 3 of 5 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=724756d1-f9ae-4762-bd33-a900e4c72d7c&question_id=10542147-47f9-41ba-b76e-975fd0dc55b5&source_detail=9709%2F15+October%2FNovember+2025) |
| [**9709/11** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-may-june-9709-11/#q-8) | **Q8** Circle Tangents and Triangle Area - CIE Pure Mathematics 2025 Jun Paper 11 Q8 | FRQ | 1 part | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7ab62c6c-c216-4c43-b712-b50225a649b8&question_id=eb882552-aa24-4f6c-8349-7915e5b2c63a&source_detail=9709%2F11+May%2FJune+2025) |
| [**9709/12** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-may-june-9709-12/#q-8) | **Q8** Circle Properties and Segment Area - CIE 9709 Pure Mathematics 1 2025 Jun Paper 12 Q8 | FRQ | 2 of 3 parts ((a), (b)) | 5 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=67393ac1-93c5-4264-b8b5-4a571c09a650&question_id=9a89f9aa-3505-4164-9d3f-18a44431477d&source_detail=9709%2F12+May%2FJune+2025) |
| [**9709/13** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-may-june-9709-13/#q-9) | **Q9** Circle and Tangent Geometry - CIE 9709 2025 Jun Paper 13 Q9 | FRQ | 2 parts ((a), (b)) | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b64a1f76-8460-4100-8fb7-03ddbfba7247&question_id=ba958d33-8ee0-462b-9af9-564bb49fe69a&source_detail=9709%2F13+May%2FJune+2025) |
| [**9709/15** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-may-june-9709-15/#q-10) | **Q10** Circle Tangent and Inequality Non-Intersection - CIE A-Level Mathematics 2025 Jun Paper 15 Q10 | FRQ | 2 parts ((a), (b)) | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ec3e11d6-9d88-4ea1-b566-ffbae1af064a&question_id=55c527de-e441-4c3b-962c-529a0fe4a9b9&source_detail=9709%2F15+May%2FJune+2025) |
| [**9709/11** October/November 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-october-november-9709-11/#q-6) | **Q6** Distance Between Circles and Extreme Distances - CIE Mathematics 2024 Nov Paper 11 Q6 | FRQ | 2 parts ((a), (b)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3a978362-cf97-40c7-a994-e264b57429c2&question_id=059ecb2f-dfce-419f-afe5-7b94dceac663&source_detail=9709%2F11+October%2FNovember+2024) |
| [**9709/12** October/November 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-october-november-9709-12/#q-8) | **Q8** Circle Tangent and Normal - CIE A-Level Maths 2024 Nov Paper 12 Q8 | FRQ | 1 of 3 parts ((b)(ii)) | 5 of 10 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=724ea49a-6892-4803-a02f-4c173d9c5a72&question_id=fe307be9-76ba-4f2a-b18c-36c837c359f0&source_detail=9709%2F12+October%2FNovember+2024) |
| [**9709/13** October/November 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-october-november-9709-13/#q-10) | **Q10** Circles and Perpendicular Bisector - CIE Pure Mathematics 2024 Nov Paper 13 Q10 | FRQ | 2 parts ((a), (b)) | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d6efe97b-7a31-419e-959f-4bf66d69ec85&question_id=81d322a6-f1bd-42c8-8277-93f1183081cb&source_detail=9709%2F13+October%2FNovember+2024) |
| [**9709/11** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-may-june-9709-11/#q-10) | **Q10** Tangents to Circle and Points of Contact - CIE Pure Mathematics 1 2024 Jun Q10 | FRQ | 1 part | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9f870f3c-54af-497e-af82-560f2f9cab32&question_id=4dfe36af-2036-49ac-84dc-0469fdda5567&source_detail=9709%2F11+May%2FJune+2024) |
| [**9709/12** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-may-june-9709-12/#q-7) | **Q7** Circle and Tangent Geometry - CIE P1 2024 Jun Q7 | FRQ | 2 parts ((a), (b)) | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=939f65d7-5ed8-49a6-9e7c-ff8a1346d994&question_id=141888e3-bc57-47c2-a976-46c915124b63&source_detail=9709%2F12+May%2FJune+2024) |
| [**9709/13** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-may-june-9709-13/#q-8) | **Q8** Circle Tangents Intersection - CIE 9709 s24 qp 13 Q8 | FRQ | 1 part | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a06c8091-44ae-4ff0-955a-a1f81df66b39&question_id=0545f287-1738-4360-b38e-54e0e4caee44&source_detail=9709%2F13+May%2FJune+2024) |
| [**9709/12** March 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-march-9709-12/#q-10) | **Q10** Circle Tangent and Circular Measure - CIE Pure Mathematics 1 2024 March Paper 12 Q10 | FRQ | 2 of 4 parts ((a), (c)) | 6 of 12 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=4541b350-a918-4b56-b9b9-6798debad1f7&question_id=51f75f83-b999-4286-b21b-0310a7463e66&source_detail=9709%2F12+March+2024) |
| [**9709/11** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-october-november-9709-11/#q-2) | **Q2** Line and Curve Intersection - CIE Mathematics 2023 Nov Paper 11 Q2 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a8d9ce7e-4b0c-40c4-b2e8-bbee159040f1&question_id=e6f876c0-8dfa-4fc3-9da5-34cc01aeeaff&source_detail=9709%2F11+October%2FNovember+2023) |
| [**9709/11** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-october-november-9709-11/#q-8) | **Q8** Area Between Curves with Substitution - CIE Mathematics 2023 Nov Paper 11 Q8 | FRQ | 1 of 2 parts ((a)) | 4 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a8d9ce7e-4b0c-40c4-b2e8-bbee159040f1&question_id=7ff13394-2fb3-4797-a649-32c4eb03ea03&source_detail=9709%2F11+October%2FNovember+2023) |
| [**9709/11** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-october-november-9709-11/#q-11) | **Q11** Parallel Tangents to Circle - CIE Mathematics 2023 Nov Paper 11 Q11 | FRQ | 3 parts ((a), (b), (c)) | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a8d9ce7e-4b0c-40c4-b2e8-bbee159040f1&question_id=e6ed08ce-9b6e-4cc8-b2e6-e3215f4d26a7&source_detail=9709%2F11+October%2FNovember+2023) |
| [**9709/12** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-october-november-9709-12/#q-11) | **Q11** Perpendicular Lines and Circle Equation - CIE 9709 P12 2023 Nov Q11 | FRQ | 2 of 3 parts ((a), (c)) | 7 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1b2438c6-7fe6-48d0-b79c-a23660af16f3&question_id=3a7579e1-a8ef-4bbb-b608-381965a6a337&source_detail=9709%2F12+October%2FNovember+2023) |
| [**9709/13** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-october-november-9709-13/#q-2) | **Q2** Circle Intersections with Y-Axis - CIE A-Level Maths 2023 Nov Paper 13 Q2 | FRQ | 2 parts ((a), (b)) | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=aeb276ad-6397-48ef-86e8-e2cc32729b15&question_id=7f84e68e-9e78-42fd-bb3c-f8c3561a1b0e&source_detail=9709%2F13+October%2FNovember+2023) |
| [**9709/11** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-may-june-9709-11/#q-5) | **Q5** Tangent to Hyperbola and Discriminant - CIE 9709 Pure Mathematics June 2023 Paper 11 Q5 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0dc71803-e90c-4c78-aca9-ca1013b0ad45&question_id=8e3e6de3-ba75-4cea-be21-512e1d8e184e&source_detail=9709%2F11+May%2FJune+2023) |
| [**9709/11** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-may-june-9709-11/#q-12) | **Q12** Intersecting Circles and Tangent Properties - CIE 9709 Pure Mathematics June 2023 Paper 11 Q12 | FRQ | 3 of 4 parts ((b), (c), (d)) | 8 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0dc71803-e90c-4c78-aca9-ca1013b0ad45&question_id=036e37cd-7270-40af-82e0-5034abc61373&source_detail=9709%2F11+May%2FJune+2023) |
| [**9709/12** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-may-june-9709-12/#q-10) | **Q10** Circle Equation and Tangents - CIE Math 2023 Jun Paper 12 Q10 | FRQ | 3 parts ((a), (b), (c)) | 13 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e3b3cac5-d933-454f-b049-0404a2feda69&question_id=5645b774-8624-4f80-ab5b-70c1a26cb3d7&source_detail=9709%2F12+May%2FJune+2023) |
| [**9709/13** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-may-june-9709-13/#q-5) | **Q5** Circle and Line Intersection - CIE Pure Mathematics 1 2023 Jun Q5 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=508e4929-f4d6-4905-b3b8-773abcf19d42&question_id=3f3db952-377a-4686-8975-00d680ea81ab&source_detail=9709%2F13+May%2FJune+2023) |
| [**9709/12** October/November 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-october-november-9709-12/#q-1) | **Q1** Perpendicular Bisector and Circle Equation - CIE Pure Mathematics 2022 Nov Paper 12 Q1 | FRQ | 1 of 2 parts ((b)) | 3 of 6 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5aa651b9-e602-4095-a4ba-0681f8d6962f&question_id=5a32d1d5-7245-459f-8908-fe721c2ea857&source_detail=9709%2F12+October%2FNovember+2022) |
| [**9709/13** October/November 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-october-november-9709-13/#q-10) | **Q10** Circle Line Intersection and Volume of Revolution - CIE A-Level Maths 2022 Nov Paper 13 Q10 | FRQ | 1 of 3 parts ((a)) | 4 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3f6abf7a-3f55-4c3e-a12a-6dfa71d93f4f&question_id=7ae8279c-9ea8-4b49-9fd0-abc285ca05f0&source_detail=9709%2F13+October%2FNovember+2022) |
| [**9709/13** October/November 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-october-november-9709-13/#q-11) | **Q11** Perpendicular Lines and Circle Equation - CIE A-Level Maths 2022 Nov Paper 13 Q11 | FRQ | 1 of 3 parts ((b)(ii)) | 4 of 11 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3f6abf7a-3f55-4c3e-a12a-6dfa71d93f4f&question_id=1ed2a020-f22f-46a4-b8c0-ac8729401f62&source_detail=9709%2F13+October%2FNovember+2022) |
| [**9709/11** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-may-june-9709-11/#q-7) | **Q7** Intersection and Area Between Curve and Line - CIE 9709 s22 qp 11 Q7 | FRQ | 1 of 2 parts ((a)) | 4 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=13d1cb95-4ad2-4921-a6af-70e64afc07b9&question_id=a9072e6b-e1a3-4cff-8233-35f9319e90bf&source_detail=9709%2F11+May%2FJune+2022) |
| [**9709/11** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-may-june-9709-11/#q-9) | **Q9** Circle Geometry and Line Intersection Discriminant - CIE 9709 s22 qp 11 Q9 | FRQ | 2 parts ((a), (b)) | 10 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=13d1cb95-4ad2-4921-a6af-70e64afc07b9&question_id=e7c2d1de-f972-4e03-bf37-549c3e9feb47&source_detail=9709%2F11+May%2FJune+2022) |
| [**9709/12** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-may-june-9709-12/#q-5) | **Q5** Intersection and Tangency of Line and Curve - CIE P1 2022 Jun Q5 | FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0db3f5fb-5aad-45cf-9535-2533b5052d2e&question_id=6ee6cf0f-06cf-4091-9017-5e653f51774e&source_detail=9709%2F12+May%2FJune+2022) |
| [**9709/12** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-may-june-9709-12/#q-8) | **Q8** Circle Equation and Tangent Line - CIE P1 2022 Jun Q8 | FRQ | 2 parts ((a), (b)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0db3f5fb-5aad-45cf-9535-2533b5052d2e&question_id=3794de77-a6e5-48d0-9ee4-044e392e6aea&source_detail=9709%2F12+May%2FJune+2022) |
| [**9709/13** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-may-june-9709-13/#q-7) | **Q7** Circle Line Intersection Coords - CIE Pure Mathematics 2022 Jun Paper 13 Q7 | FRQ | 1 of 2 parts ((b)) | 5 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=90bad8f3-9168-4467-ba03-80154a74af3f&question_id=8c7b9170-24c1-4de3-a958-a45c21ae6e75&source_detail=9709%2F13+May%2FJune+2022) |
| [**9709/13** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-may-june-9709-13/#q-11) | **Q11** Tangent and Normal Parametric Intersections - CIE Pure Mathematics 2022 Jun Paper 13 Q11 | FRQ | 2 parts ((a), (b)) | 10 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=90bad8f3-9168-4467-ba03-80154a74af3f&question_id=e4ba4e76-a9bf-4d2f-889d-37c74cc2479f&source_detail=9709%2F13+May%2FJune+2022) |
| [**9709/12** March 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-march-9709-12/#q-2) | **Q2** Intersection of Curve and Line - CIE 9709 Pure Mathematics 1 March 2022 Paper 12 Q2 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=69bdfe18-33b4-4159-a3eb-d1337cf54642&question_id=1a0047fd-4e2b-458d-aeea-ad02e7cf0e2a&source_detail=9709%2F12+March+2022) |
| [**9709/12** March 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-march-9709-12/#q-6) | **Q6** Circle and Line Intersection and Tangent - CIE 9709 Pure Mathematics 1 March 2022 Paper 12 Q6 | FRQ | 2 parts ((a), (b)) | 8 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=69bdfe18-33b4-4159-a3eb-d1337cf54642&question_id=aa0bce79-a76a-4f62-843b-e4c186874811&source_detail=9709%2F12+March+2022) |
| [**9709/12** March 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-march-9709-12/#q-8) | **Q8** Volume of Revolution of Circle Segment - CIE 9709 Pure Mathematics 1 March 2022 Paper 12 Q8 | FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=69bdfe18-33b4-4159-a3eb-d1337cf54642&question_id=9a28cc01-0904-49b7-8d65-cc636d32bd03&source_detail=9709%2F12+March+2022) |
| [**9709/11** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-october-november-9709-11/#q-2) | **Q2** Non-intersecting Line and Quadratic Curve - CIE 9709 Pure Mathematics 2021 Nov Paper 11 Q2 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a3a8f7c1-53b0-41e7-a3ba-261116294db7&question_id=affa7195-4ec1-4bc1-8372-0c7b4437232e&source_detail=9709%2F11+October%2FNovember+2021) |
| [**9709/11** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-october-november-9709-11/#q-7) | **Q7** Circle Equation and Intersecting Chord Length - CIE 9709 Pure Mathematics 2021 Nov Paper 11 Q7 | FRQ | 1 of 2 parts ((b)) | 7 of 9 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a3a8f7c1-53b0-41e7-a3ba-261116294db7&question_id=c40a87b0-1c18-4cf7-8dd5-879a42cb5d22&source_detail=9709%2F11+October%2FNovember+2021) |
| [**9709/12** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-october-november-9709-12/#q-12) | **Q12** Circle Tangent Triangle and Inscribed Equilateral Triangle Area - CIE Pure Mathematics 2021 Nov Paper 12 Q12 | FRQ | 2 parts ((a), (b)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=add2c02e-0670-4320-a323-eaf125d00b8b&question_id=b22d9103-6c5d-4fa5-8387-f5414f698224&source_detail=9709%2F12+October%2FNovember+2021) |
| [**9709/13** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-october-november-9709-13/#q-9) | **Q9** Line Intersections and Tangents to Circle - CIE A-Level Mathematics 2021 Nov Paper 13 Q9 | FRQ | 2 parts ((a), (b)) | 12 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=aeec45e4-13f4-42cd-9b27-b52cee80b882&question_id=7250205a-15d5-46e9-8a82-6ae1c3dd1cfa&source_detail=9709%2F13+October%2FNovember+2021) |
| [**9709/11** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-may-june-9709-11/#q-6) | **Q6** Tangent to Quadratic Curve - CIE 9709 P1 2021 Jun Q6 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c82991d4-eca8-4d00-8838-22d687973d23&question_id=a67d51be-c007-4f46-982b-3d9d86b59131&source_detail=9709%2F11+May%2FJune+2021) |
| [**9709/11** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-may-june-9709-11/#q-10) | **Q10** Circle Intercepts and Tangents - CIE 9709 P1 2021 Jun Q10 | FRQ | 2 parts ((a), (b)) | 8 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c82991d4-eca8-4d00-8838-22d687973d23&question_id=7fc0f17a-8c19-4314-a7fb-b801be8fbe11&source_detail=9709%2F11+May%2FJune+2021) |
| [**9709/12** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-may-june-9709-12/#q-7) | **Q7** Circle Tangent and Geometric Symmetry - CIE A-Level Maths 2021 Jun P12 Q7 | FRQ | 2 parts ((a), (b)) | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d18b9b1e-0c99-4c74-9a96-27220d8ddf82&question_id=d05e1b79-e389-4172-b7bb-b20035773704&source_detail=9709%2F12+May%2FJune+2021) |
| [**9709/13** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-may-june-9709-13/#q-3) | **Q3** Tangent Line to Quadratic Curve - CIE P1 2021 Jun Q3 | FRQ | 1 part | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9533759f-bf57-4dc6-8e41-819edf45735e&question_id=29a048d5-1a17-4b5a-b278-4a9ac03eef89&source_detail=9709%2F13+May%2FJune+2021) |
| [**9709/13** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-may-june-9709-13/#q-10) | **Q10** Circle Geometry and Tangent Line - CIE P1 2021 Jun Q10 | FRQ | 1 of 4 parts ((d)) | 5 of 10 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9533759f-bf57-4dc6-8e41-819edf45735e&question_id=4eff946c-43fc-4d97-9a85-462913d2478e&source_detail=9709%2F13+May%2FJune+2021) |
| [**9709/12** March 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-march-9709-12/#q-8) | **Q8** Circle Equation and Tangent Line - CIE Pure Mathematics 2021 Mar Paper 12 Q8 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c5921612-6447-44d9-ac13-97397140f1f1&question_id=eecb3ea2-3ec6-4a22-917e-f93e882ac32e&source_detail=9709%2F12+March+2021) |
| [**9709/12** October/November 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2020-october-november-9709-12/#q-9) | **Q9** Circle Geometry and Tangents - CIE 9709 Nov 2020 Paper 12 Q9 | FRQ | 2 of 3 parts ((b), (c)) | 6 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f4ff68c4-3b93-4e28-8283-1fff16750c61&question_id=0796d752-bb6b-43ee-8334-d87e7f682a5a&source_detail=9709%2F12+October%2FNovember+2020) |
| [**9709/13** October/November 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2020-october-november-9709-13/#q-11) | **Q11** Circle Geometry and Tangent Properties - CIE 9709 Nov 2020 P13 Q11 | FRQ | 4 parts ((a), (b), (c), (d)) | 12 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95fd6ce4-f7e7-4fab-88ee-1c4b6760c30b&question_id=7b0aaffe-c03b-4ed3-a746-79c890ccff52&source_detail=9709%2F13+October%2FNovember+2020) |
| [**9709/11** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2020-may-june-9709-11/#q-5) | **Q5** Intersection of Line and Hyperbola - CIE Pure Mathematics 2020 Jun Paper 11 Q5 | FRQ | 1 of 2 parts ((a)) | 3 of 6 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=2a32622e-5734-4055-b968-5b1e651337c0&question_id=069afb0b-4a5f-49f9-abda-81cad25e0df4&source_detail=9709%2F11+May%2FJune+2020) |
| [**9709/11** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2020-may-june-9709-11/#q-10) | **Q10** Circle Geometry and Reflections - CIE Pure Mathematics 2020 Jun Paper 11 Q10 | FRQ | 2 of 3 parts ((b), (c)) | 7 of 11 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=2a32622e-5734-4055-b968-5b1e651337c0&question_id=97e4a502-c4ad-4114-ad4b-5286b2760a86&source_detail=9709%2F11+May%2FJune+2020) |
| [**9709/12** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2020-may-june-9709-12/#q-11) | **Q11** Circle Equation and Tangents - CIE P1 2020 Jun Q11 | FRQ | 3 of 4 parts ((b), (c), (d)) | 8 of 11 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9275aff7-1c76-429c-8092-211f890344a0&question_id=d67b9909-4099-4f5a-91dc-6fc2eb94276b&source_detail=9709%2F12+May%2FJune+2020) |
| [**9709/13** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2020-may-june-9709-13/#q-10) | **Q10** Circle and Perpendicular Bisector - CIE Pure Mathematics 2020 June Paper 13 Q10 | FRQ | 1 of 2 parts ((b)) | 5 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0cc28bed-3139-4568-90b0-6474d6b8b26e&question_id=e117ac17-aea8-4ef1-bddf-e6d798d1fef2&source_detail=9709%2F13+May%2FJune+2020) |
| [**9709/12** March 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2020-march-9709-12/#q-12) | **Q12** Equations and Intersection of Two Circles - CIE A-Level Maths 2020 Mar Paper 12 Q12 | FRQ | 2 of 4 parts ((c), (d)) | 6 of 11 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c4a80732-ef99-49c1-a32e-f9fa543f1951&question_id=3a047260-1900-4c29-ae11-c764870763b9&source_detail=9709%2F12+March+2020) |

## Related topic questions in Coordinate geometry

- [• find the equation of a straight line given sufficient information](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/coordinate-geometry/find-the-equation-of-a-straight-line-given-sufficient-information/) — 51 question items · 35 papers — 209 marks · 2020–2026
- [• interpret and use any of the forms $y=mx+c$, $y-y_1=m(x-x_1)$, $ax+by+c=0$ in solving problems](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/coordinate-geometry/interpret-and-use-any-of-the-forms-y-mx-c-y-y-1-m-x-x-1-ax-by-c-0-in-solving-problems/) — 19 question items · 15 papers — 78 marks · 2020–2026
- [• understand that the equation $(x-a)^2+(y-b)^2=r^2$ represents the circle with centre $(a,b)$ and radius $r$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/coordinate-geometry/understand-that-the-equation-x-a-2-y-b-2-r-2-represents-the-circle-with-centre-a-b/) — 56 question items · 41 papers — 208 marks · 2020–2026
- [• understand the relationship between a graph and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/coordinate-geometry/understand-the-relationship-between-a-graph-and-its-associated-algebraic-equation-and/) — 39 question items · 24 papers — 135 marks · 2020–2026

## Topic question rules and edge cases

**How many topic questions cover this syllabus point?**

58 question stems cover this subtopic across 44 papers, but only 95 tagged parts and 386 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page.

**Which papers include this subtopic?**

The table lists every matching session from 2020–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available.

**Why can one question appear under several subtopics?**

The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement.

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Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript.

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Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/coordinate-geometry/use-algebraic-methods-to-solve-problems-involving-lines-and-circles/