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Higher Mathematics
Straight Line Past Papers Unit 1 Outcome 1
Multiple Choice Questions
Each correct answer in this section is worth two marks.
1. The line with equation y = ax + 4 is
perpendicular to the line with
equation 3x + y + 1 = 0.
What is the value of a?
A.
−3
B.
− 13
C.
1
3
D.
3
[END OF MULTIPLE CHOICE QUESTIONS]
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2. Find the equation of the perpendicular bisector of the line joining A(2, −1) and
B(8, 3).
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3. Find the equation of the straight line which is parallel to the line with equation
2x + 3y = 5 and which passes through the point (2, −1).
3
4. Find the equation of the line through the point (3, −5) which is parallel to the line
with equation 3x + 2y − 5 = 0.
2
5.
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6. Find the size of the angle a ◦ that the
√ line
joining the points A(0, −1) and B(3 3, 2)
makes with the positive direction of the
x -axis.
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√
B(3 3, 2)
a◦
A(0, −1)
x
7.
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10.
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14.
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16. Triangle ABC has vertices A(−1, 6),
B(−3, −2) and C(5, 2).
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y
A(−1, 6)
Find
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(a) the equation of the line
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the
median from C of triangle ABC.
C(5, 2)
(b) the equation of the line q, the
perpendicular bisector of BC.
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(c) the coordinates of the point of
intersection of the lines p and q.
B(−3, −2)
17. Triangle ABC has vertices A(2, 2),
y
B(12, 2) and C(8, 6). PSfrag replacements
[SQA]
(a) Write down the equation of l1 ,
the perpendicular bisector of
AB.
(b) Find the equation of l2 , the
perpendicular bisector of AC.
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4
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C(8, 6)
A(2, 2)
B(12, 2)
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(c) Find the point of intersection of
lines l1 and l2 .
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(d) Hence find the equation of the
circle passing through A, B and
C.
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18. The vertices of a triangle are P(−1, 1), Q(2, 1) and R(−6, 2). Find the equation of
the altitude of triangle PQR, drawn from P.
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19. Find the equation of the median AD of triangle ABC where the coordinates of A,
B and C are (−2, 3), (−3, −4) and (5, 2) respectively.
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[END OF WRITTEN QUESTIONS]
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