O-LevelAdditional MathematicsStraight line graphs4037/21 · May/June 2019 · Q108 Marks
Solutions to this question by accurate drawing will not be accepted. The points A and B have coordinates (p, 3) and (1, 4) respectively and the line L has equation 3x+y = 2.
- (i)Given that the gradient of AB is 1/3, find the value of p.[2]
- (ii)Show that L is the perpendicular bisector of AB.[3]
- (iii)Given that C(q, – 10) lies on L, find the value of q.[1]
- (iv)Find the area of triangle ABC.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [M1] (4-3) / (1-p) = 1/3 oe (ALT uses y=mx+c with A and B as far as an equation in p only)
- [A1] -2
- [B1] FT their p. Finds midpoint AB ((their p+1)/2, (3+4)/2)
- [B1] Verifies (-0.5,3.5) is on L
- [B1] y = -3x+2 therefore m = -3 oe AND (1/3) * (-3) = -1 oe
- [B1] q = 4
- [B2] 22.5 nfww (B1 for correct method to find area using correct values e.g. 1/2 * AB * MC where M is the midpoint of AB)
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →