O-LevelMathematicsVectors and transformations4024/22 · May/June 2021 · Q129 Marks
A is the point (2, 3) and B is the point (3, -5). Find AB.
- (a)(i)A is the point (2, 3) and B is the point (3, -5). Find AB.[2]
- (a)(ii)BC = (-4, 3) Find the coordinates of C.[1]
- (a)(iii)|AD|= √74 and D = (-3, n). Find the possible values of n.[3]
- (b)OQRP is a parallelogram. OP = p and OQ = q. K is the midpoint of OQ and L is a point on PR. KL = p - 1/10 q. Find PL: LR. [Figure 12.B][3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- [2] (a)(i) (1, -8) B1 for answer (1, -8) or (p/p) After 0 scored, SC1 for answer (-1/8)
- [1] (a)(ii) (-1, -2)
- [3] (a)(iii) 10 and -4 B2 for answer 10 or -4 nfww or n-3 =°7 oe or n² – 6n – 40 [=0] or M1 for √74 = √(-3-2)² + (n-3)² oe
- [3] (b) 2:3 nfww B2 for PL = 2/5 q oe or RL = -3/5 q oe or M1 for correct vector route for KL along the lines of the diagram or PL = 1/2 p - 1/10 q oe or RL = -1/2 p - 1/10 q oe
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