7.3.2 Distance between two points
(i)
√
10 (ii) 2 (iii)
√
2
(iv) 2 (v) 1 (vi)
√
2
7.3.3 Midpoint and gradient of a line
A. (i)
(
1
2
,
1
2
)
(ii) (1,−1) (iii)
(
5
2
,
5
2
)
(iv) (0, 2) (v)
(
5
2
, 1
)
(vi)
(
− 3
2
,
− 3
2
)
B. (i) −^13 (ii) ‘infinite gradient’ – vertical line
(iii) 1 (iv) vertical line (v) 0
(vi) − 1
C. (i)
(
1
5
,
3
5
)
(ii)
(
1 ,
− 4
5
)
(iii)
(
12
5
,
12
5
)
(iv)
(
0 ,
9
5
)
(v)
(
12
5
, 1
)
(vi)
(
− 8
5
,
− 7
5
)
7.3.4 Equation of a straight line
A. (i) x+ 3 y− 2 = 0 (ii) x= 1 (iii) x−y= 0
(iv) x=0(v)y=1(vi)x+y+ 3 = 0
B.(i)^23 ,−^43 (ii) − 2 ,^72 (iii) 1, 1
7.3.5 Parallel and perpendicular lines
(a) (i)x+y= 0 (ii) 2x+y= 0 (iii)x−y= 0
(b) (i)x−y+ 2 = 0 (ii)x− 2 y+ 3 = 0 (iii)x+y= 0
7.3.6 Intersecting lines
(i) and (ii) being parallel, never intersect
(i) and (iii) intersect at (1, 0)
(ii) and (iii) intersect at
( 5
4 ,
1
4
)
7.3.7 Equation of a circle
A. (i) x^2 +y^2 + 2 x− 2 y− 14 = 0 (ii) x^2 +y^2 − 4 x+ 2 y+ 4 = 0
(iii) x^2 +y^2 − 8 x− 2 y+ 13 = 0