O-LevelMathematicsCoordinate geometry4024/22 · May/June 2024 · Q1110 Marks
Q is the point (n, -4), R is the point (-1, 8) and S is the point (3, 2).
- (a)The length QR is 13 units. Find the two possible values of n.[3]
- (b)RST is a straight line and RS : RT = 2 : 5. Find the coordinates of T.[2]
- (c)Find the equation of the perpendicular bisector of RS.[5]
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [3] 4, -6 nfww
- M2 for (n+1)² = 25 or (n-1)² = 25 or n² + 2n – 24 [=0] or –n² – 2n + 24 [=0]
- or M1 for sqrt((n--1)² + (-4-8)²) = 13 oe
- After 0 scored, SC1 for one correct nfww
- [2] (9,-7)
- B1 for [RT =] (10/-15) soi or [ST =] (6/-9) soi
- or M1 for x = (5(3)+2(-1))/(5+2) oe or x = (5(3)+2(-1))/(2+5) oe
- or y = (5(2)+2(8))/(5+2) oe or y = (5(2)+2(8))/(2+5) oe
- [5] y = 2/3 x + 13/3 oe simplified equation
- B1 for midpoint (1, 5) soi
- M1 for (8-2)/(-1-3) oe
- M1 for grad perpendicular = -1 / (their(-3/2))
- M1 for substitution of their (1, 5) into y = (their 2/3)x + c oe
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 →