O-LevelMathematicsCoordinate geometry4024/21 · Oct/Nov 2024 · Q710 Marks
ABCD is a parallelogram with sides AB, BC, CD and DA. A is the point (-3, 7) and B is the point (2, 5). AD = (-1 -6)
- (a)Find the coordinates of point D.[1]
- (b)Find |AD|.[2]
- (c)Find AC.[3]
- (d)Line L is the line perpendicular to AB that passes through point D. Find the equation of line L.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [1] (-4, 1)
- [2] M1 for (-1)²+(-6)² oe
- [3] B2 for one component correct
- [3] or B1 for [C = ] (1, −1) or (5/-2)
- [4] M1 for [gradient AB =] (5-7) / (2--3) oe
- [4] M1 for [gradient L =] -1 / their gradient AB
- [4] M1 for their (-4, 1) substituted into y = (their -5/2)x + c or y -1 = (their -5/2)(x--4)
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