| |
| |
1. |
Which describes the locus of all points in a coordinate plane that are 4 units from the x-axis and 6 units from the y-axis? |
| |
|
A. |
four points whose coordinates are  |
| |
|
B. |
two points whose coordinates are (4, 6) and (-4, 6) |
| |
|
C. |
four points whose coordinates are  |
| |
|
D. |
one point at (6, 4) |
| |
|
Hint |
|
| |
2. |
Which describes the locus of points in space that satisfy the equation 2x - y = 3? |
| |
|
A. |
line |
B. |
sphere |
| |
|
C. |
plane |
D. |
point |
| |
|
Hint |
|
| |
3. |
Find the locus of points in the coordinate plane that satisfy the equations y = (x + 2)2 and y = -x - 2. |
| |
|
A. |
(1, 9), (2, -4) |
B. |
(-3, 1) |
| |
|
C. |
(-2, 0), (-3, 1) |
D. |
no points |
| |
|
Hint |
|
| |
4. |
Find the locus of points in the coordinate plane that satisfy the equations (x + 1)2 + (y - 3)2 = 72 and y = -x + 2. |
| |
|
A. |
(-7, 9), (5, -3) |
B. |
(-4, -5), (4, 10) |
| |
|
C. |
(6, -4), (8, -6) |
D. |
no points |
| |
|
Hint |
|
| |
5. |
Find the locus of points in the coordinate plane that satisfy the equations y = 20 - x2 and y = x2. |
| |
|
A. |
(-3.2, 10) and (3.2, 10) |
| |
|
B. |
no points of intersection |
| |
|
C. |
(6, 8) and (-4, -8) |
| |
|
D. |
(2, 0) and (-3, -10) |
| |
|
Hint |
|
|