9 04 ellipses quiz

Question 1

  1. What is the equation of the following graph?
    ellipse through the points (5, 0), (0, 3), (negative 5, 0) and (0, negative 3)

    x squared divided by 25 plus y squared divided by 9 equals 1
    x squared divided by 9 plus y squared divided by 25 equals 1
    x squared divided by 25 minus y squared divided by 9 equals 1
    x squared divided by 9 minus y squared divided by 25 equals 1

2 points

Question 2

  1. What is the length of the major axis of the following graph?
    ellipse through the points (3, 0), (0, 6), (negative 3, 0) and (0, negative 6)

2 points

Question 3

  1. What is the length of the major axis of the following graph?
    ellipse through the points (5, 0), (0, 3), (negative 5, 0) and (0, negative 3)

2 points

Question 4

  1. What is the equation of the following graph?
    ellipse through the points (5, 2), (2, 4), (negative 1, 2) and (2, 0)

    x minus 2 squared divided by 4 plus y minus 2 squared divided by 9 equals 1
    x minus 2 squared divided by 9 minus y minus 2 squared divided by 4 equals 1
    x plus 2 squared divided by 9 plus y plus 2 squared divided by 4 equals 1
    x minus 2 squared divided by 9 plus y minus 2 squared divided by 4 equals 1

2 points

Question 5

  1. What are the foci of the following graph?
    ellipse through the points (5, 2), (2, 4), (negative 1, 2) and (2, 0)

    (2 – Square root of 5 , 1) and (2 + Square root of 5 , 1)
    (2 – Square root of 5 , 2) and (2 + Square root of 5 , 2)

2 points

Question 6

  1. What are the vertices of the following graph?
    ellipse through the points (5, 2), (2, 4), (negative 1, 2) and (2, 0)

2 points

Question 7

  1. What is the equation of the ellipse with co-vertices (0, 2), (0, -2) and vertices (3, 0), (-3, 0)?
    x squared divided by 4 minus y squared divided by 9 equals 1
    x squared divided by 4 plus y squared divided by 9 equals 1
    x squared divided by 9 plus y squared divided by 4 equals 1
    x squared divided by 9 minus y squared divided by 4 equals 1

2 points

Question 8

  1. What is the equation of the ellipse with co-vertices (-20, 0), (20, 0) and foci (0, -8), (0, 8)?
    x squared divided by 400 minus y squared divided by 464 equals 1
    x squared divided by 400 plus y squared divided by 464 equals 1
    x squared divided by 400 plus y squared divided by 64 equals 1
    x squared divided by 400 minus y squared divided by 64 equals 1

2 points

Question 9

  1. What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?
    x squared divided by 16 minus y squared divided by 64 equals 1
    x squared divided by 16 plus y squared divided by 64 equals 1
    x squared divided by 48 plus y squared divided by 64 equals 1
    x squared divided by 48 minus y squared divided by 64 equals 1

2 points

Question 10

  1. Ellipses have symmetry through only their minor axis.

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