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1. |
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. |
3 |
B. |
2 |
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C. |
-1 |
D. |
4 |
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Hint |
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2. |
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 = 45 |
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C. |
(x – 3)2 + (y + 2)2 = 13 |
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D. |
(x + 3)2 + (y – 2)2 = 13 |
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Hint |
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3. |
The eccentricity of a parabola is _____. |
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A. |
always 1 |
B. |
sometimes 1 |
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C. |
0 |
D. |
greater than 1 |
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Hint |
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4. |
Which conic section could have an eccentricity e = 1.75? |
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A. |
circle |
B. |
hyperbola |
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C. |
parabola |
D. |
ellipse |
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Hint |
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5. |
Identify the graph of the equation x2 -3xy + 2y2 + 10y + 1 = 0. |
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A. |
ellipse |
B. |
parabola |
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C. |
circle |
D. |
hyperbola |
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Hint |
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6. |
Find the distance between points (5, 4) and (-2, -3). Round to the nearest tenth. |
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A. |
14 |
B. |
3.2 |
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C. |
7.1 |
D. |
9.9 |
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Hint |
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7. |
Write the equation of a circle that has a diameter with endpoints at (1, 0) and (5, 4). |
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A. |
(x + 3) 2 + (y + 2) 2 = 8 |
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B. |
(x + 3) 2 + (y - 2) 2 = 64 |
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C. |
(x - 3) 2 + (y - 2) 2 = 8 |
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D. |
(x - 3) 2 + (y - 2) 2 = 64 |
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Hint |
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8. |
The equation of an ellipse is find the center and the foci. |
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A. |
(-2, 1);  |
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B. |
(-2, -1); |
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C. |
(1, 4); (-1, 1) and (-1, 2) |
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D. |
(4, 1); (1, -1) and (2, -1) |
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Hint |
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9. |
Write the equation of the ellipse in standard form. |
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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. |
Find the coordinates of the center of the hyperbola with an equation of  |
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A. |
(-2, 6) |
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B. |
(2 -6) |
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C. |
(6, -2) |
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D. |
(-6, 2) |
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Hint |
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11. |
Find the equation of the asymptotes of a hyperbola with graph of  |
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A. |
y - 6 =  (x + 4) |
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B. |
y - 6 =  (x + 4) |
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C. |
y - 6 =  (x + 4) |
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D. |
y - 6 =  (x + 4) |
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Hint |
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12. |
Find the parametric equations for the equation  |
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A. |
y = 3sin t, x = 2cos t , 0 < t < 2 |
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B. |
y = 9sin t, x = 2cos t , 0 < t < 2 |
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C. |
y2 = 9sin t, x2 = 2cos t , 0 < t < 2 |
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D. |
y = 3 sin2 t, x = 2cos2 t , 0 < t < 2 |
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Hint |
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13. |
In a general equation of a conic, A = 3, B = 0, C = 2, D = 6, E = 8 and F = 5. Write the equation in standard form. |
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A. |
 |
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B. |
3(x - 1)2 + 2( y - 2)2 = 6 |
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C. |
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D. |
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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. |
hyperbola |
B. |
ellipse |
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C. |
circle |
D. |
parabola |
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Hint |
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15. |
Solve the system of equations y+ 3 = 0 and
x2 = y2 - 9 algebraically. |
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A. |
(0, -3) |
B. |
(0, 3) |
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C. |
(3, 0) |
D. |
(-3, 0) |
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Hint |
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16. |
Which set of inequalities represents the graph? |
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A. |
x2 + y2  9;
y  x + 1 |
B. |
x2 + y2 9;
y x + 1 |
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C. |
x2 + y2 3;
y x + 1 |
D. |
x2 + y2 3;
x y + 1 |
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Hint |
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