The moon travels around the Earth in an elliptical orbit with the Earth at one focus. The major and minor axes of the orbit have lengths of 768,800 kilometers and 767,640 kilometers, respectively. Find the greatest and smallest distances (the apogee and perigee), respectively from Earth’s center to the moon’s center.

Greatest Distance: 405, 508 km Smallest Distance: 363, 292 km

Greatest Distance: 415, 508 km Smallest Distance: 343, 292 km

Greatest Distance: 563, 392 km Smallest Distance: 353, 291 km

Greatest Distance: 553, 693 km Smallest Distance: 413, 292 km

Conic Sections Ellipses

Quiz

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.GPE.A.1

Standards-aligned

Barbara White

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

center: (7, 0) ; vertices: (0, –2), (0, 2)

center: (0, 0) ; vertices: (–2, 0), (2, 0)

center: (0, 0) ; vertices: (0, –7), (0, 7)

center: (0, 0) ; vertices: (–7, 0), (7, 0)

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an ellipse has its center at the origin and its endpoints in each axis are (8, 0), (-8, 0) and (0,6), (0,-6), which of the following represents its equation?

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the standard form of the equation of the ellipse with its foci at (±4, 0) and a major axis of length 12?

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following equations satisfy the given conditions: parallel to the x –axis, center at (2, 5), longer axis of length 12 and shorter axis of length 5?

Tags

CCSS.HSG.GPE.A.1

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