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1. |
Find the value of a so that the distance between points with coordinates (2, 5) and (-6, a) is 10 units. |
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A. |
11 only |
B. |
1 or 11 |
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C. |
 or 11 |
D. |
1 only |
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Hint |
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2. |
What is the equation of the directrix of the parabola with equation
y = (x + 4)2 - 2? |
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A. |
 |
B. |
x = - 2 |
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C. |
y = - 2 |
D. |
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Hint |
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3. |
The parabola with equation x = -2y2 + 3y - 5 opens _____. |
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A. |
upward |
B. |
downward |
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C. |
left |
D. |
right |
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Hint |
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4. |
Find an equation of the circle whose center is at (-2, 4) and has radius 5. |
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A. |
(x + 2)2 + (y - 4)2 = 5 |
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B. |
(x - 2)2 + (y + 4)2 = 5 |
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C. |
(x + 2)2 + (y - 4)2 = 25 |
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D. |
(x - 2)2 + (y + 4)2 = 25 |
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Hint |
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5. |
Which is the graph of 4x2 + 9y2 + 16x -18y -11 = 0? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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6. |
Solve the system of equations.
x + y = 5
(x - 1)2 + y2 = 8 |
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A. |
(3, -2) |
B. |
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C. |
(3, 2) |
D. |
no solution |
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Hint |
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7. |
Which point is closest to the midpoint of (2, 3) and (6, -1)? |
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A. |
(3, -1) |
B. |
(5, 4) |
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C. |
(6, -1) |
D. |
(2, 3) |
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Hint |
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8. |
Which of the following could be the center of a circle that is tangent to the lines y = 3 and x = –2? |
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A. |
(2, -1) |
B. |
(2, 1) |
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C. |
(0, 0) |
D. |
(-3, 1) |
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Hint |
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9. |
Write an equation for the ellipse whose endpoints of its major axis are at (2, -7) and (2, 3), and that of its minor axis are at (-1, -2) and (5, -2). |
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A. |
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B. |
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C. |
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D. |
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Hint |
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10. |
What are the equations of the asymptotes of  ? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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11. |
If the length of the transverse axis is 10 units, and the length of the conjugate axis is 6 units, what are the coordinates of the vertices? |
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A. |
(0, 5) and (0, -5) |
B. |
(3, 5) and (3, -5) |
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C. |
(5, 0) and (-5, 0) |
D. |
Cannot be determined from given information. |
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Hint |
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12. |
What is the major difference between circles and ellipses? |
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A. |
Ellipses are functions of x, while circles are not. |
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B. |
Equations for ellipses can always be written in the form  , while circles cannot. |
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C. |
In circles, one of the squared terms has a coefficient that is = 0. |
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D. |
Ellipses may be elongated on one axis, while circles have a constant radius. |
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Hint |
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13. |
Write the standard form equation of  and identify the conic section. |
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A. |
 parabola |
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B. |
 , ellipse |
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C. |
 circle |
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D. |
hyperbola |
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Hint |
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14. |
Solve the system   . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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