Page 52 - ADVANCED MATH F.5

Form Five Form Five

Answers to Exercise 3.8

3. y = − 2x 4. (0, 0)

 27 8 43 23 2 43  + −  27 8 43 23 2 43  − +
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5.  , and   ,  ,  
  17 17    17 17 
2 2
2y − 30− = −
y −x −
y
6. x +x + 2 2 4x + 2y+ 4x + 2y 2 0; (5, 5)=2 0; (5, 5)= −−
Orthogonal circles
Teaching steps
1. Use Figure 3.14 in the Student’s Book to assist students in
describing orthogonal circles. Guide students through group
discussion to derive the condition for two circles to be
orthogonal.
2. Allow students to share alternative methods of derivation the
condition for two circles to intersect orthogonally.

3. For further discussion, guide students to discuss Example 3.24
in the Student’s Book, and give them constructive feedback.
4. Instruct the students to attempt Exercise 3.9 in the Student’s
Book. Advise students to submit their work, check the
correctness of their answers, and provide them constructive
feedback where necessary.

Answers to Exercise 3.9

2
9 0
3. x + y − 2 10x − 2y += 4. (a) k = 47 (b) k = 34
2
30
70
2
2
5. x + y − 4x − 2y += 6. x + y − 4x − 4y +=
2
7. (a) 5x + 2 5y + 2 24x − 36y = 0
10. x + y = 1, 4x + 4y − 15x − = 0
2
4
2
2
2
11. = − 32
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Mathematics for Advanced Secondary Schools
30/06/2024 18:01:52
ADVANCED MATH F.5 TG CHAPTERS.indd 46 30/06/2024 18:01:52
ADVANCED MATH F.5 TG CHAPTERS.indd 46