Free Printable Conics Quiz Review (12.2

1.

What is the equation of the given circle?

a)

$(x+4)^2+(y+1)^2=9$

b)

$(x+4)^2+(y+1)^2=3$

c)

$(x-4)^2+(y-1)^2=9$

d)

$(x+4)^2+(y-1)^2=3$

2.

What is the center and radius of the circle given the equation $x^2+y^2=7$ ?

a)

$C\left(0,0\right);\ r=\sqrt{7}$

b)

$C\left(0,0\right);\ r=7$

c)

$C\left(2,2\right);\ r=\sqrt{7}$

d)

$C\left(1,1\right);\ r=7$

3.

What is the equation of the circle whose center is at the origin and $r=6$ ?

a)

$x^2+y^2=36$

b)

$x+y=36$

c)

$x^2+y^2=6$

d)

$x^2-y^2=36$

4.

What is the center and radius of the circle given the equation $\left(x-1\right)^2+\left(y+3\right)^2=2$ ?

a)

$C\left(1,-3\right);\ r=\sqrt{2}$

b)

$C\left(1,3\right);\ r=\sqrt{2}$

c)

$C\left(-1,-3\right);\ r=\sqrt{2}$

d)

$C\left(1,-3\right);\ r=1$

5.

What is the equation of a circle with radius 2 and center (3, 4)?

a)

(x+3)² + (y+4)² = 2

b)

(x-3)² + (y-4)² = 2

c)

(x+3)² + (y+4)² = 4

d)

(x-3)² + (y-4)² = 4

6.

Identify the center and the length of a and b.

a)

C: (0,4) a= 25, b=4

b)

C: (0,0) a= 4, b=25

c)

C: (0,5) a= 2, b=5

d)

C: (0,0) a= 5, b=2

7.

What is the equation used to find the focal points on an ELLIPSE?

a)

c² = a² + b²

b)

c² = a² - b²

c)

1/4d

d)

(x-h)² + (y-k)² = r²

8.

Find the standard equation of the given ellipse

a)

b)

c)

d)

9.

Find the standard equation of the given ellipse

a)

b)

c)

d)

10.

Center?

a)

(-3 , 2)

b)

(3 , -2)

c)

(12 , 16)

d)

(√12 , 4)

11.

Vertices (endpoints of Major Axis)?

a)

(-3 , 6) and (-3 , -2)

b)

(-1 , 2) and (-5 , 2)

c)

(3 , 6) and (3 , 4)

d)

(√12 , 4) and (4 , √12)

12.

Foci?

a)

(-3 , 4) and (-3 , 0)

b)

(3 , -4) and (3 , 0)

c)

(-3 , -4) and (-3 , 0)

d)

(-3 , 4) and (3 , 0)

13.

What is the center of the ellipse $\frac{\left(x-1\right)^2}{1}+\frac{y^2}{25}=1$ ?

a)

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

b)

$\left(1,\ 5\right)$

c)

$\left(1,\ 0\right)$

d)

$\left(0,\ 1\right)$

14.

Identify the center and the length of $a$ and $b$ of the ellipse $\frac{x^2}{25}+\frac{y^2}{4}=1$ .

a)

$C:\ \left(0,\ 4\right)\ a=25,\ b=4$

b)

$C:\ \left(0,\ 0\right)\ a=4,\ b=25$

c)

$C:\ \left(0,\ 5\right)\ a=2,\ b=5$

d)

$C:\ \left(0,\ 0\right)\ a=5,\ b=2$

15.

What are the foci of the ellipse $\frac{\left(x+3\right)^2}{4}+\frac{\left(y-1\right)^2}{1}=1$ ?

a)

$\left(-5,1\right)$ and $\left(-1,1\right)$

b)

$\left(\pm\sqrt{3},0\right)$

c)

$\left(0,1\right)$ and $\left(-6,1\right)$

d)

$\left(\sqrt{3}-3,\ 1\right)$ and $\left(-\sqrt{3}-3,\ 1\right)$

16.

What equation would generate the ellipse on the grid?

a)

$\frac{\left(x-3\right)^2}{36}+\frac{\left(y-1\right)^2}{16}=1$

b)

$\frac{\left(x+3\right)^2}{16}+\frac{\left(y+1\right)^2}{36}=1$

c)

$\frac{\left(x-3\right)^2}{16}+\frac{\left(y-1\right)^2}{36}=1$

d)

$\frac{\left(x+3\right)^2}{36}+\frac{\left(y-1\right)^2}{16}=1$

17.

Which equation would generate the given circle?

a)

b)

c)

d)

18.

Equation ?

a)

b)

c)

d)

19.

Equation ?

a)

b)

c)

d)

20.

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

21.

Is the hyperbola vertical or horizontal?

a)

Vertical

b)

Horizontal

22.

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

23.

A hyperbola has vertices (±5, 0) and one focus at (6, 0). What is the equation of the hyperbola in standard form?

a)

x²/25 + y²/11 = 1

b)

x²/5 - y²/11 = 1

c)

x²/11- y²/25 = 1

d)

x²/25 - y²/11= 1

Conics Quiz Review (12.2 - 12.4)

Total questions: 23

Worksheet time: 2hrs 0mins

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