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NSTEM_TEST II Quizizz MIDTERM EXAM_TT: 43 min

Total questions: 32

Worksheet time: 42mins

Name
Class
Date
1.

 This conic section has asymptote.

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

2.

This conic section has one vertex only

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

3.

This conic section has major axis and minor axis.

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

4.

This conic section consist of set of points that are all equidistant from the center.

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

5.

Which conic section is the given equation? 3x2 - 24x - 12y + 12 = 0

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

6.

Which conic section is the given equation? x2 + y2 + 2x - 4y - 11 = 0

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

7.

Which conic section is the given equation? 4x2 + 8x + 9y2 + 36y= -4

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

8.

Which conic section is the given equation? 4x2 - 8x - y2 = 12

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

9.

Identify the graph of the given ellipse. x2/16 + y2/4 = 1

a)
b)
c)
d)
10.

Calculate the distance between the given two points.

(0,2) and (−4,−1)

a)

7

b)

5

c)

49

d)

25

11.

Calculate the midpoint between the given two points.

(0, 2) and (−4, −1)

a)

(2, -1/2)

b)

(-2, -1)

c)

(-2, 1/2)

d)

(2, 1)

12.

Which conic section is the given equation? 4x2 - 8x - y2 = 12

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

13.

Determine the center and radius given the equation of a circle in standard form.

(x - 6)2 + y2 = 9

a)

C: (-6, 0)

r = 9

b)

C: (0, 0)

r = 9

c)

C: (6, 0)

r = 3

d)

C: (0, 0)

r = 3

14.

What is the length of the conjugate axis?

a)

82

b)

8

c)

2(8)

d)

42

e)

4

15.

What is the center?

a)

(3, 9)

b)

(0, 0)

c)

(-3, 3)

d)

(-9, 3)

16.

What is the radius?

a)

3

b)

6

c)

9

d)

18

17.

What is the a2?

a)

√7

b)

7

c)

√2

d)

2

18.

What is the slope of the asymptotes?

a)

1/2 and - 1/2

b)

2 and -2

c)

1/4 and - 1/4

d)

4 and -4

19.

Complete the square on the x portion of the equation 4x2 - 32x - y2 - 4y + 24 = 0.

a)

4x2 - 32x

b)

4x2 - 8x + 16

c)

x2 - 8x + 16

d)

x2 - 4x + 24

20.

1Find the foci of the equation x2/19 + y2/3 = 1.

a)

19

b)

16

c)

4

d)

1

21.

What is the eccentricity?

a)

√5/7

b)

3/7

c)

√5/2

d)

3/2

22.

Find the coordinates of the vertices.

a)

(-4, 2) and (-4, -6)

b)

(-4, -2)

c)

(-12, -2) and (4, -2)

d)

(-12, 2) and (4, -6)

23.

Find the coordinates of the foci.

a)

(-6, 0) and (6, 0)

b)

(0, 8) and (0, -8)

c)

(0, 10) and (0, -10)

d)

-4/3 x and 4/3 x

24.

What is the eccentricity of a circle?

a)

e = 0

b)

e = 1

c)

e < 1

d)

e > 1

25.

Find the equation.

a)

x2 = 4y

b)

y2 = 4x

c)

x2 = y

d)

y2 = x

26.

The focus formula of an ellipse?

a)

c2 = a2 - b2

b)

c2 = a2 + b2

c)

c2 = (a2) (b2)

d)

4a

27.

Rewrite in standard form.

y = x2 - 10x + 33

a)

(x - 5)2 = y - 8

b)

(x - 2)2 = y - 29

c)

(x - 5)2 = y - 58

d)

(x + 5)2 = y + 8

28.

Find the vertex of the equation

y = x2 - 10x + 33

a)

(8, 5)

b)

(5, 8)

c)

(2, 8)

d)

(2, 29)

29.

Calculate the equation of the hyperbola with a transverse axis of 8 and a focal length of 10.

a)

b)

c)

d)

30.

Find the equation of the ellipse with center at (2, 1), major axis horizontal, and the length of the LR is 2.

a)

(x-2)2+[(y-1)2]/2= 1

b)

(x-2)2 + (y-1)2 = 1

c)

(x+2)2 - (y+1)2 = 1

d)

[(x-2)2]/2 + (y-1)2= 1

31.

Find the equation of a parabola in standard form with a focus at (0, 4) and a directrix at y = -4.

a)

y2 = -4x

b)

x2 = 8y

c)

x2 = -12y

d)

x2 = 16y

32.

Find the focus and directrix of the parabola given by y2 = -12x.

Ans: Focus at ____ and Directrix at ____

a)

x=3 and x=-3

b)

x=-3 and x=3

c)

y=3 and y=-3

d)

y=-3 and y=3