Question 10 — IGCSE 0580 Oct/Nov 2023 Paper 41
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Probability · General. Worth 13 marks.
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Question text
10 (a) ABC is a triangle.
-11
B is the point (1,-10), A is the point (4, 14) and CA = .
e 8o
(i) Find the coordinates of C.
(.................. , ..................) [2]
(ii) Find BA.
BA = [1]
f p
(iii) Find CA .
................................................. [2]
© UCLES 2023 0580/41/O/N/23
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(b)
M
T
NOT TO
a R
SCALE
O N
b
OMN is a triangle.
OM = a and ON = b.
R is a point on MN such that MR : RN = 3 : 2.
ORT is a straight line.
2 3
(i) Show that OR = a+ b.
5 5
[3]
(ii) (a) NT = 4a+kband OT = cOR .
Find the value of k and the value of c.
k = ........................... c = ........................... [4]
(b) Find MT .
MT = ................................................ [1]
© UCLES 2023 0580/41/O/N/23 [Turn over
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3 2
Mark scheme
