Quiz about Conic sections quiz 1

Question 1

What is the center of the ellipse?

Accepted Answer

(1, 0)

Answer

(0, 0)

Answer

(1, 5)

Answer

(0, 1)

Question 2

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 3

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 4

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 5

Which conic's equation has 2 squares with the same signs and different leading coefficents?

Accepted Answer

Ellipse

Answer

Parabola

Answer

Circle

Answer

Hyperbola

Question 6

The foci of an ellipse are located at (-2, 3) & (2, 3), where is the center?

Accepted Answer

(0, 3)

Answer

(3, 0)

Answer

(-2, 0)

Answer

(2, 0)

Question 7

Identify the conic:
25x² + 5y² + 6x + 4y +2 = 0

Accepted Answer

Ellipse

Answer

Circle

Answer

Hyperbola

Answer

Parabola

Question 8

What kind of conic is it?

Accepted Answer

Vertical Ellipse

Answer

Vertical Hyperbola

Answer

Horizontal Ellipse

Answer

Horizontal Hyperbola

Question 9

Which conic's equation has 2 squares with the same signs and same leading coefficents?

Accepted Answer

Circle

Answer

Parabola

Answer

Ellipse

Answer

Hyperbola

Question 10

An ellipse has a vertical major axis length of 50, and an eccentricity of 0.96. What is the length of the minor axis?

Accepted Answer

14

Answer

7

Answer

12

Answer

24

Question 11

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 12

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 13

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 14

What are the coordinates of the centre and the radius of the circle with equation:
(x + 2)² + (y + 5)² = 16 ?

Accepted Answer

Centre (-2,-5)
Radius = 4 units

Answer

Centre (2,5)
Radius = 16 units

Answer

Centre (2,5)
Radius = 4 units

Answer

Centre (-2,-5)
r = 16 units

Question 15

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

Conic sections quiz 1

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