4MA1/1H Jun 2020, Question 22: Coordinate Geometry of Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Rhombus ABCD has diagonals AC and BD crossing at M(6, −11); A and C lie on 2y + 7x = 20. Find exact coordinates where line BD meets the y-axis.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1AC: y = −7x/2 + 10, so its gradient is −7/2
- 2Rhombus diagonals are perpendicular: BD gradient = 2/7
- 3BD through M(6, −11): y + 11 = 2/7 (x − 6)
- 4At x = 0: y = −11 − 12/7 = −89/7
- 5(0, −89/7)
Answer(0, −89/7)
Stuck on a step? Read the free lesson: Coordinate Geometry of Shapes
Practise more coordinate geometry of shapes questions
Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on coordinate geometry of shapes
Also searched as: 4MA1 1H June 2020 · 4MA1/1H · 4ma1 jun20 1h · question 22.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.