Quiz about Conics Summative

Question 1

Which type of conic section is this equation?

Accepted Answer

hyperbola

Answer

circle

Answer

ellipse

Answer

parabola

Question 2

Which type of conic section is this equation?

Accepted Answer

circle

Answer

ellipse

Answer

hyperbola

Answer

parabola

Question 3

Which type of conic section is this equation?

Accepted Answer

ellipse

Answer

circle

Answer

hyperbola

Answer

parabola

Question 4

Which type of conic section is this equation?

Accepted Answer

circle

Answer

ellipse

Answer

hyperbola

Answer

parabola

Question 5

Which type of conic section is this equation?

Accepted Answer

hyperbola

Answer

circle

Answer

ellipse

Answer

parabola

Question 6

Which type of conic section is this equation?

Accepted Answer

parabola

Answer

circle

Answer

ellipse

Answer

hyperbola

Question 7

Which type of conic section is this equation?

Accepted Answer

hyperbola

Answer

circle

Answer

ellipse

Answer

parabola

Question 8

Which type of conic section is this equation?

Accepted Answer

circle

Answer

ellipse

Answer

hyperbola

Answer

parabola

Question 9

Which type of conic section is this equation?

Accepted Answer

parabola

Answer

circle

Answer

ellipse

Answer

hyperbola

Question 10

Which type of conic section is this equation?

Accepted Answer

ellipse

Answer

circle

Answer

hyperbola

Answer

parabola

Question 11

Which is the center of the circle with the equation

(x - 3)² + (y + 5)² = 16

Accepted Answer

(3, -5)

Answer

(3, 5)

Answer

(-3, 5)

Answer

(5, -3)

Question 12

The vertices of a hyperbola are located at (1,1) and (5 ,1). Which are the coordinates of the center?

Accepted Answer

(3,1)

Answer

(3,0)

Answer

(1,3)

Answer

(9,1)

Question 13

For the ellipse with the following characteristics:
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
What is the center of this ellipse?

Accepted Answer

(4, -3)

Answer

(4, 6)

Answer

( - 4, 3)

Answer

(6, 4)

Question 14

What is the equation of the circle?

Accepted Answer

(x+1)² + (y +1)² = 9

Answer

(x+1)² + (y +1)² = 3

Answer

(x+1)² + (y -1)² = 3

Answer

(x-1)² + (y -1)² = 9

Question 15

Write the equation of the circle with a radius of 3 and a center of (4, 2).

Accepted Answer

( x - 4)² + (y - 2)² = 3²

Answer

( x - 4)² + (y - 2)² = 3

Answer

( x - 2)² + (y - 2)² = 3²

Answer

( x + 4)² + (y + 2)² = 3²

Question 16

Write the equation of the circle with a radius of 3 and a center of (4, 2).

Accepted Answer

( x - 4)² + (y - 2)² = 3²

Answer

( x - 4)² + (y - 2)² = 3

Answer

( x - 2)² + (y - 2)² = 3²

Answer

( x + 4)² + (y + 2)² = 3²

Question 17

Why is the graph of the circle incorrect?
(x-3)² + y² = 4

Accepted Answer

The center should be at (3,0).

Answer

The radius should be 4.

Answer

The radius should be -2.

Answer

The center should be at (-3,0).

Question 18

Classify the given conic section and match it's characteristics:
(x - 3)² + ( y + 5)² = 25

Accepted Answer

Circle; Center (3, - 5) ; radius = 5

Answer

Ellipse; center (3, -5)

Answer

Ellipse; Center (-3,  5) ; radius = 5

Answer

Circle; Center (3, - 5) ; radius = 25

Question 19

What is the center of the ellipse?

Accepted Answer

(1, 0)

Answer

(0, 0)

Answer

(1, 5)

Answer

(0, 1)

Question 20

What is the center of the ellipse?

Accepted Answer

(1, 0)

Answer

(0, 0)

Answer

(1, 5)

Answer

(0, 1)

Question 21

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

Accepted Answer

(3,2)

Answer

(-3, -2)

Answer

(-2, -3)

Answer

(2, 3)

Question 22

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

Accepted Answer

2

Answer

4

Answer

3

Answer

16

Question 23

What is the center of the given equation?

Accepted Answer

(h, k) = (-4, -3)

Answer

(h, k) = (4, 3)

Answer

(h, k) = (-4, 3)

Answer

(h, k) = (4, -3)

Question 24

Identify the center and the length of a and b.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 25

What is the center of the shifted ellipse?

Accepted Answer

(-3,1)

Answer

(0,0)

Answer

(1,-3)

Answer

(3,-1)

Question 26

What are the vertices of the ellipse?

Accepted Answer

(3, -5) and (3, 7)

Answer

(0, 0)

Answer

(7, 1) and (-1, 1)

Answer

(3, 1)

Question 27

Classify the conic section.

Accepted Answer

Circle

Answer

Ellipse

Answer

Line

Answer

None of these

Question 28

Classify the conic section.

Accepted Answer

Hyperbola

Answer

Circle

Answer

Ellipse

Answer

Parabola

Question 29

Classify the conic section.

Accepted Answer

Ellipse

Answer

Circle

Answer

Hyperbola

Answer

Parabola

Question 30

Classify the conic section.

Accepted Answer

Hyperbola

Answer

Circle

Answer

Ellipse

Answer

Parabola

Question 31

In the equation
(x+2)²+(y+3)²=49, what is the center of the circle?

Accepted Answer

(-2, -3)

Answer

(2, 3)

Answer

(3, 2)

Answer

(-3, -2)

Question 32

Name the center of the ellipse and the a and b values: $$\frac{x^2}{100}+\frac{\left(y+2\right)^2}{25}=1$$

Accepted Answer

Center: (0, -2)

a=10

b=5

Answer

Center: (0, -2)

a = 100

b = 25

Answer

Center: (0, 2)

a = 10

b = 5

Answer

Center: (0, 2)

a=100

b=25

Question 33

What is the equation for the graph?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 34

Given radius of 3 and center of (-4,6)

Accepted Answer

(x + 4)²+ (y - 6)² = 9

Answer

(x + 4)²+ (y - 6)² = 3

Answer

(x + 6)²+ (y - 4)² = 9

Answer

(x - 4)²+ (y + 6)² = 9

Question 35

What is the center of (x - 5)²+ (y + 1)² = 25

Accepted Answer

(5,-1)

Answer

(-5,1)

Answer

(1,5)

Answer

(-1,5)

Question 36

Question 36.

Accepted Answer

Ellipse

Answer

Parabola

Answer

Circle

Answer

Hyperbola

Question 37

Question 37.

Accepted Answer

Circle

Answer

Parabola

Answer

Ellipse

Answer

Hyperbola

Question 38

Question 38.

Accepted Answer

Hyperbola

Answer

Parabola

Answer

Circle

Answer

Ellipse

Question 39

Which conic section is represented by this equation?

Accepted Answer

Circle

Answer

Ellipse

Answer

Hyperbola

Answer

Parabola

Question 40

Which conic section is represented by the equation $$-9x^2+y^2-72x-153=0$$ ?

Accepted Answer

Hyperbola

Answer

Circle

Answer

Ellipse

Answer

Parabola

Question 41

What are the major vertices of the ellipse?

Accepted Answer

(3, -5) and (3, 7)

Answer

(0, 0)

Answer

(7, 1) and (-1, 1)

Answer

(3, 5) and (4, 7)

Question 42

Determine the centre and radius of a circle

$$x^2-6x+y^2+4y+4=0$$

Accepted Answer

Centre (3,-2) and radius = 3

Answer

Centre (-2,3) and radius = 3

Answer

Centre (4,-6) and radius = 9

Answer

Centre (-6,4) and radius = 9

Question 43

Find the equation of circle whose is centre at ( -2, 3 ) and passing through the point ( -5, 4 )

Accepted Answer

$$\left(x+2\right)^2+\left(y-3\right)^2=10$$

Answer

$$\left(x-2\right)^2+\left(y+3\right)^2=10$$

Answer

$$\left(x+4\right)^2+\left(y-3\right)^2=5$$

Answer

$$\left(x-4\right)^2-\left(y+3\right)^2=5$$

Conics Summative

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