Page 47 - ADVANCED MATH F.5

Form Five Form Five

5. Instruct students to attempt Exercise 3.5 in the Student’s
Book. Advise students to submit their work, check the
correctness of the answers, and provide them constructive
feedback where necessary.
2 FOR ONLINE READING ONLY

Answers to Exercise 3.5

2
1. (a) x + y − 2 4y − 12 0=
2
2
(b) x + y + 4x − 4y − 17 0=
2
2
(c) x + y − 40=
2
2
(d) 4x + 4y + 4x − 40y − 299 0=
2
(e) 8x + 8y − 32x + 48y + 103 0=
2
2. (a) Centre (1, − 2), radius = 45 units
5
(b) Centre (0, 0), radius = units
2
(c) Centre (0, 2),radius = units
(d) Centre ( 1, 0), radius− = 2 units
⎛ 1 3 ⎞
(e) Centre ⎜ , − ⎟ , radius 1= unit
⎝ 2 2 ⎠

3. x + y − 2 8x − 8y + 16 0=
2
4. (x + 41) + 2 (y + 161) = 2 144

5. 4x + 2 4y + 2 40x − 16y + 67 0=

 − 5  33
6. Centre 2,  , radius = units

 2  2
8. Centre (5, − ) 6 , radius = 2 3 units

36
9. (b) Centre (4, 1), radius units, diameter 36= units
2
10. x + y + 2 12x + 8y − 92 0=

41
Mathematics for Advanced Secondary Schools

30/06/2024 18:01:51
ADVANCED MATH F.5 TG CHAPTERS.indd 41
ADVANCED MATH F.5 TG CHAPTERS.indd 41 30/06/2024 18:01:51