1.a
|
x2 + y2 = 25 |
b
|
x2 + y2 = 9 |
c
|
(x − 2)2 + (y − 1)2 = 25 |
d
|
(x − 7)2 + (y − 3)2 = 16 |
e
|
(x + 3)2 + (y − 2)2 = 4 |
f
|
(x − 5)2 + (y + 1)2 = 100 |
g
|
(x − 3)2 + y2 = 9 |
h
|
x2 + (y + 2)2 = 36 |
2. a
|
(0, 0); 9 |
b
|
(0, 0); 11 |
c
|
(2, 3); 4 |
d
|
(5, 4); 3 |
e
|
(-1, 6); 5 |
f
|
(-3, -1); 7 |
g
|
(-7, 0); 8 |
h
|
(0, 4); 4 |
3. a(-1, -3); 5 b(-4, -5); 7 c(5, 4); 7 d(3, -3); 5 e(-6, 1); 7 f(3, -4); 5 g(2, 2); 1 h(-2.5, 1.5); 2.915
4.
a. |
b. |
c. |
d. |
5. c. -1
d. (7, 7)
e. 1
f. y = x
g. The perpendicular bisector of a chord is a diameter.
6. c. 7y = x + 25
d. (-0.5, 3.5)
e. (0, 0)
f. y = -7x
h. A diameter passes through the mid-point of a chord at 90°.
7. b. A (0, 0), B(6, 0)
e. √2/ 2, -√ 2
f. Angle in a semi-circle is 90°
8. b. (-6, 0)
d. 4 / 3
e. -4 /(x0 + 3)
f. x0 = 7 / 3
g. PQ is a tangent.
h. OP = 5, PQ = 20 / 3., OQ = 25 / 3...
i. tangent meets radius at 90°