WorksheetsWhat conic section is it?
Total questions: 28
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
Which conic's equation has 2 squares with the same signs and different leading coefficents?
a)
Parabola
b)
Circle
c)
Ellipse
d)
Hyperbola
2.
Which conic's equation has 2 squares with opposite signs?
a)
Parabola
b)
Circle
c)
Ellipse
d)
Hyperbola
3.
True or False?
When the x-part is squared, the parabola opens up or down.
When the x-part is squared, the parabola opens up or down.
a)
True
b)
False
4.
Which direction does this parabola open?
a)
Up
b)
Down
c)
Left
d)
Right
5.
True or False?
When the x-part is squared, the parabola opens up or down.
When the x-part is squared, the parabola opens up or down.
a)
True
b)
False
6.
What is the center of the ellipse?
a)
(0, 0)
b)
(1, 5)
c)
(1, 0)
d)
(0, 1)
7.
What direction does the parabola open?
(y-9)2 = -40(x+4)
(y-9)2 = -40(x+4)
a)
Up
b)
Down
c)
Left
d)
Right
8.
Given the equation of the parabola, where would the VERTEX be? (put in standard form)
a)
( 3 , 3)
b)
(24, 3)
c)
( - 24, 3)
d)
(-3, 3)
9.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
10.
x2 - y 2 = 8
a)
circle
b)
ellipse
c)
hyperbola
d)
parabola
11.
x2 + y2 = 8
a)
circle
b)
ellipse
c)
hyperbola
d)
parabola
12.
Find the equation of the figure shown.
a)
(x-5)2 + (y-3)2 = 25
b)
(x+5)2/4 + (y+3)2/9 = 1
c)
(x-5)2/2 + (y-3)2/3 = 1
d)
(x-5)2/4 + (y-3)2/9 = 1
13.
What is the coordinates of the centre and the radius of the circle with equation:
(x + 2)2 + (y + 5)2 = 16 ?
(x + 2)2 + (y + 5)2 = 16 ?
a)
Centre (2,5)
Radius = 16 units
Radius = 16 units
b)
Centre (2,5)
Radius = 4 units
Radius = 4 units
c)
Centre (-2,-5)
r = 16 units
r = 16 units
d)
Centre (-2,-5)
Radius = 4 units
Radius = 4 units
14.
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
15.
The focus is always inside the parabola.
a)
true
b)
false
16.
All parabolas with a vertical directrix open the left or right.
a)
true
b)
false
17.
What is the point inside the parabola 'p' units from the vertex?
a)
vertex
b)
focus
c)
directrix
d)
axis of symmetry
18.
2x2 + 6y – 9 = 0
a)
Parabola Opens Up
b)
Parabola Opens Down
c)
Vertical Ellipse
d)
Horizontal Ellipse
19.
4x2 – 5y2 + 2x – 8y + 10 = 0
a)
Circle
b)
Ellipse
c)
Hyperbola
d)
Parabola
20.
25x2 + 5y2 + 6x + 4y +2 = 0
a)
Circle
b)
Ellipse
c)
Hyperbola
d)
Parabola
21.
6y2 – 5x – 2y + 5 = 0
a)
Parabola
b)
Circle
c)
Hyperbola
d)
Ellipse
22.
-6x2 + 4y2 + 9x + y = -7
a)
Circle
b)
Parabola
c)
Ellipse
d)
Hyperbola
23.
6x2 + 6y2 – 3x + 4y = 0
a)
Circle
b)
Parabola
c)
Hyperbola
d)
Ellipse
24.
What is the center of (x + 2)2 + (y - 5)2 = 25
a)
(-2,5)
b)
(2,-5)
c)
(2,5)
d)
(-1,-5)
25.
Which conic's equation has only 1 square?
a)
Parabola
b)
Circle
c)
Ellipse
d)
Hyperbola
26.
Which conic's equation has 2 squares with opposite signs?
a)
Parabola
b)
Circle
c)
Ellipse
d)
Hyperbola
27.
Which conic's equation has 2 squares with the same signs and different leading coefficents?
a)
Parabola
b)
Circle
c)
Ellipse
d)
Hyperbola
28.
Which of these is not a conic section?
a)
Ellipse
b)
Hyperbola
c)
Rectangle
d)
Parabola
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