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WorksheetsConics: Hyperbolas
Total questions: 14
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
What is the equation describing the relationship between dimensions and foci of a hyperbola?
a)
c2 = a2 + b2
b)
c2 = a2 - b2
c)
4p
d)
(x-h)2 + (y-k)2 = r2
2.
Is the hyperbola vertical or horizontal?
a)
Vertical
b)
Horizontal
3.
What are the asymptotes of the hyperbola in the picture?
a)
y = x and y = –x
b)
y = 2x and y = –2x
c)
y = 1/2x and y = –1/2x
d)
y = 2x and y = 4x
4.
What are the vertices of the hyperbola?
a)
(0, 3) and (0, -3)
b)
(-4, 3) and (-4, -3)
c)
(0, 1) and (0, -1)
d)
(4, 0) and (-4, 0)
5.
Written in standard form, this would be . . .
a)
A
b)
B
c)
C
d)
D
6.
The equation of the hyperbola, in standard form is . . .
a)
A
b)
B
c)
C
d)
D
7.
The equation of the hyperbola is . . .
a)
A
b)
B
c)
C
d)
D
8.
What is the value of a2 for the given hyperbola?
a)
1
b)
5
c)
25
d)
16
9.
What is the center of the hyperbola?
a)
(0, 4)
b)
(4, 0)
c)
(-4, 0)
d)
(0, -4)
10.
A hyperbola with a horizontal tranverse axis has asymptotes y = ± ¾x. Which of the following could be the equation of the hyperbola in standard form.
a)
x²/3 + y²/4 = 1
b)
x²/4 - y²/3 = 1
c)
x²/16 - y²/9 = 1
d)
x²/25 - y²/16 = 1
11.
Write the standard form of the following equation:
x2 - 4y2 + 6x - 8y = 11
x2 - 4y2 + 6x - 8y = 11
a)
A
b)
B
c)
C
d)
D
12.
Write the standard form of the following equation:
9y2 - 4x2 + 36y + 32x - 64 = 0
9y2 - 4x2 + 36y + 32x - 64 = 0
a)
A
b)
B
c)
C
d)
D
13.
Classify the conic.
a)
Parabola
b)
Circle
c)
Hyperbola
d)
Ellipse
14.
Equation ?
a)
b)
c)
d)
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