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)