Free Printable practice

1.

$x^2-4x+139=-9y^2+72y$

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

2.

$y^2+x-4y-1=0$

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

3.

Which of the following represents the equation of a hyperbola?

a)

$25x^2+25y^2+200x+250y-425=0$

b)

$25x^2+y^2+200x-250y-425=0$

c)

$-25x^2+y^2+200x-250y-425=0$

d)

$-25x^2+y+200x-425=0$

4.

$\left(x-4\right)^2=8\left(y-3\right)$ Represents what type of conic?

a)

Hyperbola

b)

Ellipse

c)

Circle

d)

Parabola

5.

Write the standard form of the conic by completing the square.

$x^2+y^2+10y=39$

a)

$x^2+\left(y+5\right)^2=39$

b)

$x^2+\left(y+5\right)^2=64$

c)

$x^2+\left(y+10\right)^2=139$

d)

$x^2+\left(y+10\right)^2=39$

6.

Which is the equation to find c on an ellipse?

a)

$c^2=a^2+b^2$

b)

$c^2=a^2-b^2$

c)

$c=\frac{1}{4}d$

d)

$c=\sqrt{\left(x-h\right)^2+\left(y-k\right)^2}$

7.

$\frac{x^2}{169}+\frac{y^2}{49}=1$

The length of the major axis is ______

a)

$338$

b)

$98$

c)

$26$

d)

$13$

8.

The following conic is a(n) ______________ and is ____________.

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

a)

Hyperbola, Vertical

b)

Ellipse, Horizontal

c)

Ellipse, Vertical

d)

Hyperbola, Horizontal

9.

Name the conic and find its center

$x^2+y^2+8x-4y+18=0$

a)

Circle $\left(4,-2\right)$

b)

Circle $\left(-4,2\right)$

c)

Circle, $\left(4,2\right)$

d)

Circle, $\left(-4,-2\right)$

10.

Name the conic section and list its vertices

$9x^2-4y^2-54x-16y-79=0$

a)

Hyperbola $\left(3,4\right)\left(3,-8\right)$

b)

Hyperbola $\left(7,-2\right)\left(-1,-2\right)$

c)

Hyperbola $\left(9,-2\right)\left(-3,-2\right)$

d)

Hyperbola $\left(3,2\right)\left(3,-6\right)$

11.

Choose the conic section that is defined as "the set of all points in a plane such that the sum of the distances from two distinct fixed points is constant."

a)

Circle

b)

Parabola

c)

Hyperbola

d)

Ellipse

12.

Choose all of the following representing characteristics of a Hyperbola.

a)

Asymptotes

b)

Center

c)

Conjugate Axis

d)

Major Axis

13.

Equations of circles and ellipses are similar except for __________________________________.

a)

Coefficients of the squared terms

b)

Both x and y are squared

c)

Addition sign between the squared terms

d)

Subtraction sign between the squared terms

14.

Choose the conic section that is defined as "the set of all points equally distant from a fixed point called the center. "

a)

Ellipse

b)

Circle

c)

Parabola

d)

Hyperbola

15.

Identify the conic:

-6x² + 4y² + 9x + y = -7

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

16.

Write the standard form of the conic by completing the square.

a)

A

b)

B

c)

C

d)

D

17.

Write the standard form of the conic by completing the square.

x² + y² +10y = 39

a)

x² + (y+5)² = 39

b)

x² + (y+5)² = 64

c)

x² + (y+10)² = 139

d)

x² + (y+10)² = 39

18.

Identify the conic:

5x²-5y²+10y-55=0

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

19.

Write the standard form of the conic by completing the square.

x² + 6x+2y²-8y+13=0.

a)

(x+3)²/12+(y-4)²/6=1

b)

(x+3)²/30+(y-2)²/15=1

c)

(x+3)²+2(y-2)²=0

d)

(x+3)²/4+(y-2)²/2=1

20.

Identify the conic:

x²-10x+4y+13=0.

a)

Parabola

b)

Circle

c)

Ellipse

d)

Hyperbola

practice

Total questions: 20

Worksheet time: 33mins

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