4MA1/2HR Jan 2020, Question 24: Perpendicular Lines
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 5 marks
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The question, in short
Given line L₁: 5x + 10y = 8, find L₂ perpendicular to L₁ through (8, 6), then find area of triangle AOB where A is L₂'s x-intercept and B is L₂ at x = −3.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 5 marks
- 1L₁: y = −0.5x + 0.8, so L₂ has gradient 2
- 2L₂ through (8, 6): y = 2x − 10
- 3A: y = 0 gives x = 5; B: x = −3 gives y = −16
- 4Area AOB = ½ × 5 × 16 = 40
Answer40
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