Mathematics - Leaving Certificate Examination - Sample Paper - 2012 Page 5
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20Question 3
(25 marks)
(a)
The point A has co-ordinates (0, 1).
l
1
y
The line l passes through A and has slope
D
2
Find the equation of l.
A
B
x
(b)
[AB] is the diameter of a circle, where B is the point (10, 1).
Find the centre and radius of the circle, and hence write down its equation.
(
,
)
Centre:
;
Radius:
Equation:
(c)
The line l crosses the circle at the points A and D.
Write down the slope of DB, and explain how you know that this is the slope.
Answer:
The slope of DB is:
Explanation:
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Leaving Certificate 2012 – Sample Paper
Page 5 of 19
Project Maths, Phase 1
Paper 2 – Ordinary Level
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