B.(i)
(
1 ,
1
2
)
,
√
21
2
(ii)
(
−
3
2
, 1
)
,
√
41
2
(iii)
(
0 ,
− 1
2
)
,
√
13
2
.
C.x+y− 2 − 2
√
2 =0, x−y+ 2 + 2
√
2 = 0
They intersect at (0, 2 +
√
2).
D.Centre (1, 0), radius 1. Tangent isx−
√
(^3 y+^1 =0 with intercepts (−1, 0) and
0 ,
1
√
3
)
.
7.3.8 Parametric representation of curves
(i) x^2 +y^2 = 9 (ii)
(x− 1 )^2
4
+(y− 3 )^2 = 1
(iii) x= 2 (y+ 2 )^2 (iv) xy= 6
(v) x= 1 − 2 y^2