1
 
a.
b.
c.
d.
e.
f.
5.00
9.43
9.49
11.3
9.85
11.2

 

2
 
a.
b.
c.
d.
e.
f.
(5, 7)
(3, 1.5)
(-0.5, 2.5)
(-1, 2)
(2, 1.5)
(2, -3.5)

 

3
 
a.
b.
c.
d.
e.
f.
-2
1
-10/7
-1
-7
2

4. Lengths of sides of triangle are √26, √26 and √32 therefore it is an isosceles triangle.

5. Gradient of AB = 2/3 and gradient of BC = 2/3. As point B is common the points A,B and C must be in a straight line.

6. Gradient of both lines is 0.25

7. Lengths of sides are 8, 5 and 5 therefore the triangle is isosceles.

8. x =1

9. y = 5

10. Mid-point of line joining (1, -2) and (7, -2) is (4, -2) and mid-point of line joining (4, 1) and (4, -5) is (4, -2).
The centre of the circle is (4, -2)