Page 50 - ADVANCED MATH F.5

Form Five Form Five

tangent and normal to a circle. Advise students to present their
findings on a flip chart or manila cards. Guide them to make
presentations for more inputs.
4. For further discussion, guide students to discuss Examples
FOR ONLINE READING ONLY
3.17 to 3.20 in the Student’s Book, and give them constructive
feedback.

5. Instruct students to attempt Exercise 3.7 in the Student’s Book.
Advise students to submit their work, check the correctness of
the answers, and provide them constructive feedback where
necessary.

Answers to Exercise 3.7

1. (a) Tangent, 6x − 6x − 2y − 2y − 5 0; Normal x=5 0; Normal x= Normal, ++ 3y =3y = 0 0

(b) Tangent, 3x − 3x − 4y + 4y + 25 0; Normal 4x= 25 0; Normal 4x= Normal, + 3y = 3y = 0.0.
+
(c) Tangent, 2xy−−2xy−− Normal, +x 2y +=2y+ 3 03 0+=
9 0; Normal x=9 0; Normal=
2 0= =
(d) Tangent, 2x + 2x 4y − = Normal, 2y+ 4 7 7− 0; Normal 2xy− − 2 0x y= 0; Normal − −
3y −3y −
(e) Tangen, 2x +2x + 22 0; Normal 3x=22 0; Normal 3x= Normal, − − 2y − 2y − 7 0= 0=
7
2y =2y =
(f) Tangent, 2x +2x + 3 0; Normal 3x −0; Normal x − 00.
3y = Normal, 3y =
2. (3, 1)−
++=
2y −40 and x=
3. k = 40, or k = − 10 13. x +2x + y − 40 and x= , + 2y 2y +=60
60
4. x + 2y − 30= 14. 5units

2
9 0.
7. xy+ − 50= 15. x + y + 6x + 10y +=
2
8. 5x +5x + 2y − 2y − 21 0 and= 21 0 and 5x= , 5x + + 2y + 2y + 28 0= 28 0=
10. 4x − 3y + 25 0 and 4x= , 4x − − 3y − 3y − 25 0= 25 0=

2
40
11. 2xy+ += , 2xy+ += 40 and 2xy+ −and xy+ − 60= 60=
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Mathematics for Advanced Secondary Schools

30/06/2024 18:01:52
ADVANCED MATH F.5 TG CHAPTERS.indd 44 30/06/2024 18:01:52
ADVANCED MATH F.5 TG CHAPTERS.indd 44