Page 66 - PRE-U STPM MATHEMATICS (T) TERM 1

Mathematics Term 1 STPM Answers

(e) (x + 4) 2 + (y – 1) 2 = 1 , (x – 6) 2 + (y – 1) 2 = 1 (c) y
36 20 36 20
2
2
3. (a) 4x + y = 4
(b) x 2 + y 2 = 1 0 x
16 9
(c) (x – 5) 2 + (y – 2) 2 = 1
4 9
(d) 4(x – 1) + (y + 1) = 4 (d) y
2
2
4. (a) x = 2 + 3 cos q, y = 3 + 2 sin q
(b) x = –2 + 2 cos q, y = 1 + 3 sin q
(c) x = 2 + 2 cos q, y = –1 + sin q 0 x
(d) x = 1 + 10 cos q, y = –1 + 6 sin q
5. (a) 2x + 3 3y = 12
(b) 5y = 3x + 15 2
(c) 3x + 4 3y + 24 = 0 (e) y
6. (a) x + y = 5; y = x – 1
(b) x – 2y = 4; 2x + y = 3
(c) 9y = 2x – 5; 9x + 2y + 20 = 0
y = 1
7. (a) (2, 1) –2 0 x
(b) (3, 2)
(c) (2, 6)
(d) (2, 1) (f) y
, )
9. 1 , –2; 2y = x + 8, (–6, 1); y + 2x = 14; ( 48 2
2 7 7
2
10. 7m + 12m + 5 = 0; outside x
0
11. y = x ± 13 , y + x = ± 13 –1 x = 2
12. y + x = ±5
13. 35°10´
(g) y
2
2
14. (x + 8) + y = 1
15 9
15. 3y + 2x = ± 43
x
0
Exercise 5.4
1. (a)
y
(h)
y
x
(–4, 0) 0 (4, 0) y = 2
x
0
3 3
y = –x y = – –x x = 1
4 4
(b) y
2. (a) (i) 5 , (± 5 , 0)
2
1
(ii) x = ± 4 5 , y = ± x
5 2
x 2 3
(– 10, 0) 0 ( 10, 0) (b) (i) 3 , (±4, 0)
(ii) x = ±3, y = ± 3 x
3
1 1
y = –x y = – –x
2 2

285

Answers STPM Math T S1.indd 285 3/28/18 4:25 PM