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10 It is given that the area of triangle ABC is 12 square units.

(a) Find the value of p.
y
A(6, 5)

B(6, 2)

x
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2
C(p, q)

[2]
(b) (i) Write the equation of line BC.

[3]
(ii) Hence, proof that q = –2.

[2]
(c) Find the equation of the line passing through A and parallel to BC.

[3]
(d) Write down the coordinates of point D such that ABCD is a parallelogram.

[2]

Chapter 3 Coordinate Geometry 67

Chapter 3.indd 67 15/03/2022 10:28 AM