Module 7 Quiz

Conic Sections

Instructions

This quiz contains 15 multiple choice questions covering all topics in Module 7. You need to score at least 70% (11 out of 15 correct) to pass. Select one answer for each question, then click "Submit Quiz" to see your results.

Question 1

What is the center of the circle (x - 5)² + (y + 3)² = 16?

(5, 3) (5, -3) (-5, 3) (-5, -3)

Question 2

What is the radius of the circle x² + y² - 4x + 6y - 12 = 0?

3 5 7 25

Question 3

Which equation represents a circle with center at the origin and radius 7?

x² + y² = 7 x² + y² = 14 x² + y² = 49 (x - 7)² + (y - 7)² = 1

Question 4

Find the equation of a circle with center (-2, 4) and radius 6.

(x + 2)² + (y - 4)² = 6 (x + 2)² + (y - 4)² = 36 (x - 2)² + (y + 4)² = 36 (x - 2)² + (y + 4)² = 6

Question 5

For the parabola x² = 16y, what is the focus?

(0, 2) (0, 4) (4, 0) (16, 0)

Question 6

Which equation represents a horizontal parabola?

x² = 8y y² = 8x x² + y² = 8 x²/8 + y²/4 = 1

Question 7

What is the directrix of the parabola (y - 3)² = 12(x + 1)?

x = 2 x = -4 y = 2 y = -4

Question 8

For the ellipse x²/25 + y²/9 = 1, what are the vertices?

(5, 0) and (-5, 0) (0, 5) and (0, -5) (3, 0) and (-3, 0) (0, 3) and (0, -3)

Question 9

What is the center of the ellipse (x + 2)²/16 + (y - 3)²/25 = 1?

(2, -3) (-2, 3) (2, 3) (-2, -3)

Question 10

For the ellipse x²/9 + y²/25 = 1, find the value of c (distance from center to focus).

2 3 4 5

Question 11

Which equation represents an ellipse with a vertical major axis?

x²/16 + y²/9 = 1 x²/9 + y²/16 = 1 x² - y² = 16 x² + y² = 16

Question 12

For the hyperbola x²/16 - y²/9 = 1, what are the vertices?

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

Question 13

What are the asymptotes of the hyperbola x²/4 - y²/9 = 1?

y = ±(2/3)x y = ±(3/2)x y = ±2x y = ±3x

Question 14

Which equation represents a vertical hyperbola?

x²/9 - y²/16 = 1 y²/9 - x²/16 = 1 x²/9 + y²/16 = 1 x² = 9y

Question 15

Identify the conic section: 9x² + 4y² = 36

Circle Ellipse Parabola Hyperbola

Quiz Results

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