O-LevelMathematicsCoordinate geometry4024/21 · May/June 2018 · Q119 Marks
The grid shows the line 4y = x + 2. By drawing appropriate lines, indicate the region R defined by all these inequalities. x ≥ 1 x+y≤5 4y ≥ x + 2
- (a)By drawing appropriate lines, indicate the region R defined by all these inequalities. x ≥ 1 x+y≤5 4y ≥ x + 2[3]
- (b)A is the point (−1, 3) and B is the point (5, 5).
- (b)(i)Calculate the length AB.[2]
- (b)(ii)Find the equation of the line perpendicular to AB that passes through the midpoint of AB.[4]
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Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [3] Correct region indicated
- [3] B1 for ruled line x = 1
- [3] B1 for ruled line x + y = 5
- [2] 6.32...
- [2] M1 for √(5 - (-1))² + (5 - 3)²
- [4] y = -3x + 10 oe
- [4] B3 for (2, 4) and y = −3x + c OR
- [4] B2 for y = -3x + c OR
- [4] B1 for (2, 4) or (5-3)/(5-(-1)) oe
- [4] and M1 for -1 / (their 1/3)
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