Page 49 - ADVANCED MATH F.5

Form Five Form Five

Answers to Exercise 3.6

x
2
2
1. (a) x + y + 7x − 5y + 16 0= (d) x + y − + 4y − 53 0=
2
2
2
2
(b) x + y − 4x + 4y − 17 0= (e) x + y + 4x − 3y =
2
0
2
FOR ONLINE READING ONLY
2
2
x
(c) x + y ++ 2y − 30=
2
2
2
2. (a) x + y − 6x + 4y − 12 0= (d) x + y − 2 10x − 8y + 16 0=
2
2
2
2
(b) x + y − + 4y − 12 0= (e) x + y − 13x + 3y +=
2 0
x
2
2
(c) x + y − 14x + 10y − 95 0=
3. x + 2 y − 2 10x − 10y + 24 0= 4. C C    13 1 , , 3     , r = 92 units
  2 2 2 12  2
5. x + 2 y − 2 2x + 2y − 23 0=
7. (a) C( 4, 8)− (b) r = 4 10 units (c) x + 2 y − 2 8x − 16y − 80 0=

9. 8x + 2 8y − 2 46x − 35y − 202 0=
Equation of tangent and normal to a circle
Teaching steps
1. Use Figure 3.9 in the Student’s Book to assist students in
describing the line which is tangent to a circle given the end
points of a diameter. Guide students through discussion to
derive the formula for the equation of a tangent to a circle at
the where it touches the circle.
2. Use Figure 3.10 in the Student’s Book to assist students in
describing a line which is tangent to a circle. Guide them
through discussion to derive the equation of a line which is
normal to a circle at the point of contact with the circle.
3. Design an activity which will engage students to share
alternative methods for the derivation of the equation of

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 43