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1. |
If M(5, -4) is the midpoint of  and C has coordinates (9, -2), find the coordinates of D. |
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A. |
(-6, 1) |
B. |
(-3, 7) |
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C. |
(1, -6) |
D. |
(7, -3) |
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Hint |
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2. |
Collinear points lie on the same line. Find the value of k for which the points (3, 7), (-5, -1), and (-1, k) are collinear. |
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A. |
2 |
B. |
4 |
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C. |
-1 |
D. |
3 |
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Hint |
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3. |
Write the equation of a circle that passes through the origin and has its center at (–3, –2). |
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A. |
(x – 3)2 + (y – 2)2 = 13 |
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B. |
(x – 3)2 + (y + 2)2 = 10 |
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C. |
(x + 3)2 + (y + 2)2 = 13 |
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D. |
(x + 3)2 + (y + 2)2 = 5 |
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Hint |
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4. |
Write the equation of the circle whose diameter has endpoints at (3, –1) and (–9, 5). |
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A. |
(x + 3)2 + (y – 2)2 = 45 |
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B. |
(x – 3)2 + (y + 2)2 = 13 |
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C. |
(x – 3)2 + (y + 2)2 = 45 |
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D. |
(x + 3)2 + (y – 2)2 = 13 |
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Hint |
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5. |
For the equation  , find the coordinates of the foci of the ellipse. |
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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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6. |
Find the equation of the hyperbola with foci at (8, 2) and (-4, 2) whose transverse axis is 10 units long. |
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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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7. |
The eccentricity of a parabola is _____. |
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A. |
0 |
B. |
always 1 |
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C. |
sometimes 1 |
D. |
greater than 1 |
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Hint |
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8. |
Identify the conic section represented by the equation
2x2 - 6x + 2y2 + 12y + 18 = 0. |
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A. |
hyperbola |
B. |
parabola |
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C. |
circle |
D. |
ellipse |
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Hint |
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9. |
Graph the system of inequalities  and  . |
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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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10. |
The equation of an ellipse is find the center and the foci. |
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A. |
(1, 4); (-1, 1) and (-1, 2) |
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B. |
(-2, 1);  |
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C. |
(-2, -1); |
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D. |
(4, 1); (1, -1) and (2, -1) |
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Hint |
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11. |
Find the coordinates of the center of the hyperbola with an equation of  |
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A. |
(-6, 2) |
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B. |
(6, -2) |
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C. |
(2 -6) |
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D. |
(-2, 6) |
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Hint |
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12. |
Write the equation y2 - 4y - 2x - 1 = 0 in standard form. |
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A. |
(y + 2) 2 = 2(x + 2.5) |
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B. |
(y - 2) 2 = 2(x - 2.5) |
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C. |
(y - 2) 2 = 2x + 5 |
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D. |
(y + 2) 2 = 2x - 5 |
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Hint |
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13. |
Find the rectangular equation of the curve whose parametric equations are y = 2t2 + 4 and x = 4t, where  and identify the conic section. |
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A. |
8y = x2 - 4; parabola |
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B. |
 parabola |
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C. |
8y = x2 - 32; ellipse |
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D. |
ellipse |
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Hint |
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14. |
Identify the graph of
3x2 + 3y2 - 3xy +5x - 3y + 7 = 0. |
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A. |
circle |
B. |
ellipse |
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C. |
parabola |
D. |
hyperbola |
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Hint |
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15. |
Identify the graph of the equation
x2 - 8xy + 6y2 + 4 y + 5 = 0. |
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A. |
parabola |
B. |
circle |
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C. |
ellipse |
D. |
hyperbola |
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Hint |
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16. |
Solve the system of equations y+ 3 = 0 and
x2 = y2 - 9 algebraically. |
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A. |
(0, 3) |
B. |
(-3, 0) |
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C. |
(0, -3) |
D. |
(3, 0) |
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Hint |
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