Understanding Engineering Mathematics

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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
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