4MA0 Higher January 2017 Paper 4 Q6
6 \(A\) has coordinates \((11, 3e)\)
\(B\) has coordinates \((1, 7e)\)
The midpoint of \(AB\) has coordinates \((x, y)\)
(a) Find the value of \(x\). (1)
(b) Find an expression for \(y\) in terms of \(e\).
Simplify your answer. (2)
Simplify your answer. (2)
| Scheme | Marks |
|---|---|
| 6 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
(\(y =\)) \(\dfrac{3e + 7e}{2}\) or (\(y =\)) \(\dfrac{10e}{2}\) oe or (\(y =\)) \(3e + \dfrac{7e - 3e}{2}\) or (\(y =\)) \(3e + 2e\) oe or (\(y =\)) \(7e - \dfrac{7e - 3e}{2}\) or (\(y =\)) \(7e - 2e\) oe | M1 |
| \(5e\) | A1 |
| (2) | |
| (3 marks) |
Notes
M1: For an unsimplified expression equivalent to \(5e\)
A1: cao