OCR MEI Paper 3 2019 June — Question 12 2 marks

Exam BoardOCR MEI
ModulePaper 3 (Paper 3)
Year2019
SessionJune
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStraight Lines & Coordinate Geometry
TypeEquation of line through two points
DifficultyModerate -0.5 This is a verification task requiring students to derive a line equation from a diagram using coordinate geometry. While it involves algebraic manipulation and understanding of line equations, it's a straightforward 'show that' question with the answer provided, requiring only routine application of two-point form or intercept form of a line equation.
Spec1.03a Straight lines: equation forms y=mx+c, ax+by+c=0
12 Show that the equation of the line in Fig. C2 is \(r y + h x = h r\), as given in line 24.
Question 12:
AnswerMarks Guidance
Answer/WorkingMark Guidance
Gradient \(= -\frac{h}{r}\)M1 1.1a
\(y = -\frac{h}{r}x + h\) so \(ry + hx = hr\)A1 3.3
[2] 
## Question 12:

| Answer/Working | Mark | Guidance |
|---|---|---|
| Gradient $= -\frac{h}{r}$ | M1 | 1.1a |
| $y = -\frac{h}{r}x + h$ so $ry + hx = hr$ | A1 | 3.3 | Convincing completion (answer given). May start with different standard form of equation of straight line |
| **[2]** | | |
12 Show that the equation of the line in Fig. C2 is $r y + h x = h r$, as given in line 24.

\hfill \mbox{\textit{OCR MEI Paper 3 2019 Q12 [2]}}
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Q1 6 Q2 5 Q3 6 Q4 3 Q5 3 Q6 7 Q7 4 Q8 10 Q9 6 Q10 4 Q11 6 Q12 2 Q13 6 Q14 4 Q15 3