| |
| |
1. |
What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i? |
| |
|
A. |
y = x2 - 5x - 6 |
B. |
y = x3 - 2x2 - 9x + 18 |
| |
|
C. |
y = x2 + x - 6 |
D. |
y = x3 - 2x2 + 9x - 18 |
| |
|
Hint |
|
| |
2. |
Find an equation of the circle passing through A(2, 4), B(-2, 6), and
O(0,0). |
| |
|
A. |
x2 + y2 = 40 |
B. |
(x - 2)2 + (y - 4)2 = 20 |
| |
|
C. |
(x + 1)2 + (y - 3)2 = 10 |
D. |
(x - 3)2 + (y + 6)2 = 32 |
| |
|
Hint |
|
| |
3. |
Which of the following points is on the circle with equation
(x - 7)2 + (y + 3)2 = 25? |
| |
|
A. |
(10, 1) |
B. |
(17, 12) |
| |
|
C. |
(5, -6) |
D. |
(-8, -23) |
| |
|
Hint |
|
| |
4. |
Which is an equation of the circle with center at (11, -19) and diameter 12? |
| |
|
A. |
(x - 11) 2 + (y + 19) 2 = 144 |
| |
|
B. |
(x + 11) 2 + (y - 19) 2.= 144 |
| |
|
C. |
(x - 11) 2 + (y + 19) 2 = 36 |
| |
|
D. |
(x + 11) 2 + (y - 19) 2 = 36 |
| |
|
Hint |
|
| |
5. |
Find an equation of the circle passing through U(-3, -1), V(3, 5), and
W(9, 3). |
| |
|
A. |
x2 + y2 = 10 |
| |
|
B. |
(x + 1) 2 + (y - 4) 2 = 25 |
| |
|
C. |
(x - 3) 2 + (y - 3) 2 = 90 |
| |
|
D. |
(x - 4) 2 + (y + 2) 2 = 50 |
| |
|
Hint |
|
|
|