Deck 9: Conic Sections
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Deck 9: Conic Sections
1
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
(-1, -1)and (5, -3)
A)32
B)
C)8
D)
(-1, -1)and (5, -3)
A)32
B)

C)8
D)


2
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
(-3, 7)and (3, 4)
A)27
B)
C)9
D)
(-3, 7)and (3, 4)
A)27
B)

C)9
D)


3
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
(7.7, -1.5)and (2.7, 1.2)
A)
B)108.25
C)
D)
(7.7, -1.5)and (2.7, 1.2)
A)

B)108.25
C)

D)


4
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
(-325,1453)and (980, -396)
A)
B)
C)
D)
(-325,1453)and (980, -396)
A)

B)

C)

D)

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5
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
(1, 6)and (-5, -1)
A)-1
B)42
C)
D)
(1, 6)and (-5, -1)
A)-1
B)42
C)

D)

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6
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
(4, 3)and (4, -3)
A)7
B)5
C)10
D)6
(4, 3)and (4, -3)
A)7
B)5
C)10
D)6
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7
Graph the equation.

A)
B)
C)
D)

A)

B)

C)

D)

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8
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.

A)
B)
C)
D)

A)

B)

C)

D)

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9
Graph the equation.

A)
B)
C)
D)

A)

B)

C)

D)

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10
Graph the equation.

A)
B)
C)
D)

A)

B)

C)

D)

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11
Find the midpoint of the segment with the given endpoints.
(3, 3)and (1, 7)
A)
B)
C)
D)
(3, 3)and (1, 7)
A)

B)

C)

D)

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12
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.

A)
B)
C)
D)

A)

B)

C)

D)

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13
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
(a, 0)and (0, z)
A)
B)
C)
D)
(a, 0)and (0, z)
A)

B)

C)

D)

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14
Graph the equation.

A)
B)
C)
D)

A)

B)

C)

D)

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15
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
(-2.2, 4.5)and (12.8, 12.5)
A)289
B)17
C)
D)23
(-2.2, 4.5)and (12.8, 12.5)
A)289
B)17
C)

D)23
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16
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
(1, -64)and (52, 56)
A)
B)2873
C)2745
D)
(1, -64)and (52, 56)
A)

B)2873
C)2745
D)

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17
Graph the equation.

A)
B)
C)
D)

A)

B)

C)

D)

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18
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
(7, -7)and (3, -1)
A)
B)10
C)20
D)
(7, -7)and (3, -1)
A)

B)10
C)20
D)

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19
Graph the equation.

A)
B)
C)
D)

A)

B)

C)

D)

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20
Graph the equation.

A)
B)
C)
D)

A)

B)

C)

D)

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21
Find the center and the radius of the circle.

A)(-4, -7), r = 5
B)(4, 7), r = 25
C)(7, 4), r = 25
D)(-7, -4), r = 5

A)(-4, -7), r = 5
B)(4, 7), r = 25
C)(7, 4), r = 25
D)(-7, -4), r = 5
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22
Graph the circle.

A)
B)
C)
D)

A)

B)

C)

D)

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23
Find the center and the radius of the circle.

A)(-7, 0), r = 81
B)(0, -7), r = 9
C)(7, 0), r = 81
D)(0, 7), r = 9

A)(-7, 0), r = 81
B)(0, -7), r = 9
C)(7, 0), r = 81
D)(0, 7), r = 9
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24
Graph the circle.

A)
B)
C)
D)

A)

B)

C)

D)

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25
Graph the circle.

A)
B)
C)
D)

A)

B)

C)

D)

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26
Find the center and the radius of the circle.

A)(0, 0), r = 81
B)(0, 0), r = 9
C)(0, 9), r = 81
D)(9, 9), r = 81

A)(0, 0), r = 81
B)(0, 0), r = 9
C)(0, 9), r = 81
D)(9, 9), r = 81
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27
Graph the circle.

A)
B)
C)
D)

A)

B)

C)

D)

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28
Graph the circle.

A)
B)
C)
D)

A)

B)

C)

D)

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29
Find the midpoint of the segment with the given endpoints.
(2.2, 0.2)and (6.9, 0.7)
A)
B)
C)
D)
(2.2, 0.2)and (6.9, 0.7)
A)

B)

C)

D)

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30
Find the midpoint of the segment with the given endpoints.
(4, 9)and (-2, 1)
A)
B)
C)
D)
(4, 9)and (-2, 1)
A)

B)

C)

D)

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31
Find the midpoint of the segment with the given endpoints.
(-5, -4)and (0, 9)
A)
B)
C)
D)
(-5, -4)and (0, 9)
A)

B)

C)

D)

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32
Find the center and the radius of the circle.

A)(3, 0), r = 81
B)(0, 3), r = 9
C)(-3, 0), r = 9
D)(0, -3), r = 81

A)(3, 0), r = 81
B)(0, 3), r = 9
C)(-3, 0), r = 9
D)(0, -3), r = 81
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33
Find the midpoint of the segment with the given endpoints.

A)
B)
C)
D)

A)

B)

C)

D)

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34
Find the center and the radius of the circle.

A)(6, -4), r = 36
B)(-6, 4), r = 6
C)(4, -6), r = 6
D)(-4, 6), r = 36

A)(6, -4), r = 36
B)(-6, 4), r = 6
C)(4, -6), r = 6
D)(-4, 6), r = 36
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35
Find the center and the radius of the circle.

A)(6, 8), r = 25
B)(-8, -6), r = 5
C)(-6, -8), r = 5
D)(8, 6), r = 25

A)(6, 8), r = 25
B)(-8, -6), r = 5
C)(-6, -8), r = 5
D)(8, 6), r = 25
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36
Find the center and the radius of the circle.

A)(7, -9), r = 5
B)(9, -7), r = 25
C)(-9, 7), r = 5
D)(-7, 9), r = 25

A)(7, -9), r = 5
B)(9, -7), r = 25
C)(-9, 7), r = 5
D)(-7, 9), r = 25
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37
Graph the circle.

A)
B)
C)
D)

A)

B)

C)

D)

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38
Find the midpoint of the segment with the given endpoints.
(5, -9)and (-2, 9)
A)
B)
C)
D)
(5, -9)and (-2, 9)
A)

B)

C)

D)

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39
Find the center and the radius of the circle.

A)(-3, -9), r = 16
B)(3, 9), r = 4
C)(-9, -3), r = 16
D)(9, 3), r = 4

A)(-3, -9), r = 16
B)(3, 9), r = 4
C)(-9, -3), r = 16
D)(9, 3), r = 4
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40
Find the midpoint of the segment with the given endpoints.

A)
B)
C)
D)

A)

B)

C)

D)

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41
Give the equation for a circle with the given center and radius.
Center at (0, -4), radius 4
A)
B)
C)
D)
Center at (0, -4), radius 4
A)

B)

C)

D)

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42
Give the equation for a circle with the given center and radius.
Center at (8, -1), radius
A)
B)
C)
D)
Center at (8, -1), radius

A)

B)

C)

D)

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43
Graph the ellipse.

A)
B)
C)
D)

A)

B)

C)

D)

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44
Graph the hyperbola.

A)
B)
C)
D)

A)

B)

C)

D)

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45
Graph the hyperbola.

A)
B)
C)
D)

A)

B)

C)

D)

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46
Graph the hyperbola.

A)
B)
C)
D)

A)

B)

C)

D)

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47
Graph the hyperbola.

A)
B)
C)
D)

A)

B)

C)

D)

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48
Give the equation for a circle with the given center and radius.
Center at (-1, 0), radius
A)
B)
C)
D)
Center at (-1, 0), radius

A)

B)

C)

D)

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49
Graph the hyperbola.

A)
B)
C)
D)

A)

B)

C)

D)

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50
Graph the ellipse.

A)
B)
C)
D)

A)

B)

C)

D)

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51
Give the equation for a circle with the given center and radius.
Center at (6, -6), radius 8
A)
B)
C)
D)
Center at (6, -6), radius 8
A)

B)

C)

D)

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52
Graph the hyperbola.

A)
B)
C)
D)

A)

B)

C)

D)

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53
Graph the hyperbola.

A)
B)
C)
D)

A)

B)

C)

D)

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54
Give the equation for a circle with the given center and radius.
Center at (0, 8), radius
A)
B)
C)
D)
Center at (0, 8), radius

A)

B)

C)

D)

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55
Graph the hyperbola.

A)
B)
C)
D)

A)

B)

C)

D)

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56
Graph the ellipse.

A)
B)
C)
D)

A)

B)

C)

D)

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57
Graph the ellipse.

A)
B)
C)
D)

A)

B)

C)

D)

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58
Give the equation for a circle with the given center and radius.
Center at (-4, 0), radius 7
A)
B)
C)
D)
Center at (-4, 0), radius 7
A)

B)

C)

D)

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59
Graph the ellipse.

A)
B)
C)
D)

A)

B)

C)

D)

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60
Solve.

A)(8, -7), (7, -8)
B)(-8, 7), (-7, 8)
C)(-8, -7), (-7, -8)
D)(8, 7), (7, 8)

A)(8, -7), (7, -8)
B)(-8, 7), (-7, 8)
C)(-8, -7), (-7, -8)
D)(8, 7), (7, 8)
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61
Solve.

A)(3, 0), (0, 5)
B)(0, 3), (0, 5)
C)(0, 3), (5, 0)
D)(3, 0), (5, 0)

A)(3, 0), (0, 5)
B)(0, 3), (0, 5)
C)(0, 3), (5, 0)
D)(3, 0), (5, 0)
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62
Solve.

A)(8, 9), (9, 8)
B)(8, -9), (9, -8)
C)(-8, 9), (-9, 8)
D)(-8, -9), (-9, -8)

A)(8, 9), (9, 8)
B)(8, -9), (9, -8)
C)(-8, 9), (-9, 8)
D)(-8, -9), (-9, -8)
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63
Solve.

A)
B)
C)
D)

A)

B)

C)

D)

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64
Solve.

A)(8, 8), (-8, 8)
B)(8, 0), (-8, 0)
C)(-8, 0), (-8, 8)
D)(8, 0), (8, 8)

A)(8, 8), (-8, 8)
B)(8, 0), (-8, 0)
C)(-8, 0), (-8, 8)
D)(8, 0), (8, 8)
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65
Solve.

A)(2, -1),
B)(4, 1),
C)(4, 1),
D)(2, -1),

A)(2, -1),

B)(4, 1),

C)(4, 1),

D)(2, -1),

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66
Solve.

A)(2, 4), (-2, 4), (2, -4), (-2, -4)
B)(2, -4), (2, 4)
C)(2, 4), (4, 2), (-2, -4), (-4, -2)
D)(-2, -4), (-4, -2)

A)(2, 4), (-2, 4), (2, -4), (-2, -4)
B)(2, -4), (2, 4)
C)(2, 4), (4, 2), (-2, -4), (-4, -2)
D)(-2, -4), (-4, -2)
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67
Solve.

A)(-6, 5), (-5, 6)
B)(6, -5), (5, -6)
C)(-6, -5), (-5, -6)
D)(6, 5), (-5, -6)

A)(-6, 5), (-5, 6)
B)(6, -5), (5, -6)
C)(-6, -5), (-5, -6)
D)(6, 5), (-5, -6)
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68
Solve.

A)(-8, -2), (-2, -8)
B)(8, 2), (2, 8), (-8, -2), (-2, -8)
C)(8, -2), (8, 2)
D)(8, 2), (-8, 2), (8, -2), (-8, -2)

A)(-8, -2), (-2, -8)
B)(8, 2), (2, 8), (-8, -2), (-2, -8)
C)(8, -2), (8, 2)
D)(8, 2), (-8, 2), (8, -2), (-8, -2)
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69
Solve.

A)no solution
B)
C)
D)(-5, -1), (-5, 1), (5, 1), (5, -1)

A)no solution
B)

C)

D)(-5, -1), (-5, 1), (5, 1), (5, -1)
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70
Solve.

A)(2, 4), (1, 1)
B)(2, 1), (1, 4)
C)(4, 2), (1, 1)
D)(1, 4), (2, 1)

A)(2, 4), (1, 1)
B)(2, 1), (1, 4)
C)(4, 2), (1, 1)
D)(1, 4), (2, 1)
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71
Solve.

A)(7, 18), (2, 9)
B)(7, 4), (2, 9)
C)5, 6
D)(-7, 18), (-2, 13)

A)(7, 18), (2, 9)
B)(7, 4), (2, 9)
C)5, 6
D)(-7, 18), (-2, 13)
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