Free Printable CONIC SECTIONS

1.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

2.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

3.

What type of conic section is

x^2-x+3y+6=0

?

a)

Hyperbola

b)

Circle

c)

Ellipse

d)

Parabola

4.

What type of conic section is

2x^2+2y^2-4x-16y-9=0

?

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

5.

What type of conic section is $3x^2-y^2-11x+4=0$ ?

a)

Ellipse

b)

Circle

c)

Hyperbola

d)

Parabola

6.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

7.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

8.

What is the equation of the circle that passes through (-15, 10) and has a center at (-16, 11)?

a)

$\left(x+16\right)^2+\left(y-11\right)^2=4$

b)

$\left(x+11\right)^2+\left(y-16\right)^2=4$

c)

$\left(x+16\right)^2+\left(y-11\right)^2=2$

d)

$\left(x+13\right)^2+\left(y-17\right)^2=2$

9.

Find the graph to this equation $\left(x-3\right)^2+y^2=4$

a)

b)

c)

d)

10.

(y-4)² = -8(x+1)
What are the coordinates for the focus?

a)

(1,4)

b)

(-1,6)

c)

(-1,2)

d)

(-3,4)

11.

(x+3)² = 4(y+5)
What is the equation of the directrix?

a)

x = 4

b)

x = 2

c)

y = -4

d)

y = -6

12.

What direction does the parabola point?

a)

Up

b)

Down

c)

Left

d)

Right

13.

The focus is at (2,0) and the vertex is at (-4,0). What is the equation of the parabola?

a)

y² = 24(x+4)

b)

(y+4)² = -12x

c)

x² = 16(y+4)

d)

(x+4)² = -20y

14.

Find the standard equation of the given ellipse

a)

b)

c)

d)

15.

Find the standard equation of the given ellipse

a)

b)

c)

d)

16.

Find the graph of the given ellipse equation

a)

b)

c)

d)

17.

Determine the equation of the hyperbola.

a)

$\frac{x^2}{4}-y^2=1$

b)

$\frac{x^2}{2}-y^2=1$

c)

$\frac{x^2}{4}+y^2=1$

d)

$\frac{x^2}{2}+y^2=1$

18.

Coordinates of the foci of the hyperbola

\frac{x^2}{9}-\frac{y^2}{16}=1

are

a)

$\left(\pm\ 3,\ 0\right)$

b)

$\left(\pm\ 4,\ 0\right)$

c)

$\left(\pm\ 5,\ 0\right)$

d)

none of these

19.

Equation of hyperbola if length of transverse axis is 8 and foci $\left(\pm\ 5,\ 0\right)$

a)

$\frac{x^2}{16}-\frac{y^2}{9}=1$

b)

$\frac{x^2}{9}-\frac{y^2}{16}=1$

c)

$\frac{y^2}{16}-\frac{x^2}{9}=1$

d)

none of these

20.

Equation of the hyperbola with vertices

\left(0,\ \pm\ 5\right)

and foci

\left(0,\ \pm\ 8\right)

is

a)

$\frac{y^2}{25}-\frac{x^2}{39}=1$

b)

$\frac{x^2}{25}-\frac{y^2}{39}=1$

c)

$\frac{x^2}{25}+\frac{y^2}{39}=1$

d)

none of these

CONIC SECTIONS

Total questions: 20

Worksheet time: 40mins

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