Page 65 - PRE-U STPM MATHEMATICS (T) TERM 1

Mathematics Term 1 STPM Answers
Exercise 5.2 (b) y
3
1. (a) (b) ( )
0, –
y y 2
x = 3
x = –2 x
0
3 2
( )
,0
x x 4
0 (2, 0) (–3, 0) 0

Major axis: 3
3
Minor axis: 2
(c) (d) 2
y y (c)
y
3
( )
0, –
9 2 2
x = – – x = –
8 3
x x
–, 0 – –, 0 0
0 9 2 0 x
5
8 3 ( )
–
,0
2

2. (a) (3, 0) (b) (1, –2) Major axis: 5
Minor axis: 3
y y
(d) y
x
0
x 2 2
0 (3, 0) (1, –2) 2
0 (2, 0) x
(c) (–1, 1) (d) (–4, 3)
Major axis: 4 2
y y
Minor axis: 4
(e) y
(–1, 1) (–4, 3)
x
0 x 3 (1, 3)
0 4

2
3. (a) y = 8x (b) y = 6x 0 x
2
2
(c) y = 12x (d) 3y = 20x Major axis: 8
2
9
9
3
4. (a) x = t , y = 3t (b) x = t , y = t Minor axis: 6
2
2
2 4 2
2
4
2
(c) x = 15 t , y = 15 t + 1 (d) x = t + 1, y = t (f)
2
8 4 3 3 y
2
(e) x = 2(2t + 1), y = 8t + 1
5. (a) y = x + 2; y + x = 6 (b) y = x + 3; y + x = 9 0 x
(c) 2y + 2x + 5 = 0; 2y = 2x – 15 2 3
(d) 2y = 2x + 3a; 2y + 2x = 9a
6. y = 3x + 3, 3y + x + 81 = 0, (–9, –24)
7. ty = x + t , tx + y = t + 21 ; (8, –4 2 ) (–, –2)
2
3
3
2
8. 8 2 a, 32a 2 Major axis: 6
5
9. p + q = 1, pq = –2 ; 1 a, a2 Minor axis: 4
2
10. x = –a 2 2
2
12. 2ax = y – y 2. (a) x + y = 1
16 9
Exercise 5.3 (b) x 2 + (y – 1) 2 = 1
1. (a) y 4 9
(0, — ) Major axis: 4 4(x – 2) 2 (y – 1) 2
4
3 8 (c) + = 1
Minor axis: 81 18
3 2 2 2 2
x (d) x + y = 1 , (x – 2) + y = 1
0 (2, 0) 4 3 4 3

284
Answers STPM Math T S1.indd 284 3/28/18 4:25 PM