Mathematics - Leaving Certificate Examination - Sample Paper - 2012 Page 6
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20Question 4
(25 marks)
(a)
Five lines j, k, l, m, and n in the co-ordinate
k
plane are shown in the diagram.
y-axis
The slopes of the five lines are in the
l
table below.
Complete the table, matching the lines to
their slopes.
j
slope
line
x-axis
2
m
1
8
0
1
n
−
4
–1
y
(b)
The diagram shows four circles of equal radius.
The circles are touching as shown.
c
c
3
4
2
+
2
= .
The equation of
c is
x
y
9
1
(i)
Write down the radius of
c .
1
x
Answer:
c
c
(ii)
Write down the co-ordinates of
1
2
the centre of
c .
3
Answer:
(iii) Write down the equation of
c .
3
Answer:
Leaving Certificate 2012 – Sample Paper
Page 6 of 19
Project Maths, Phase 1
Paper 2 – Ordinary Level
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