An ellipse has centre (0,0) and vertices on the y-axis. The minor axis has length 10 and the major axis has length 14. Find the equation of the ellipse.
An ellipse has centre (0,0) and vertices on the y-axis. The minor axis has length 10 and the major axis has length 14. Find the equation of the ellipse.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
![**Problem Statement:**
An ellipse has its center at the origin (0, 0) and vertices on the \( y \)-axis. The minor axis has a length of 10, and the major axis has a length of 14. Find the equation of the ellipse.
**Options:**
A. \[\frac{x^2}{7} + \frac{y^2}{5} = 1\]
B. \[\frac{x^2}{100} + \frac{y^2}{196} = 1\]
C. \[\frac{x^2}{49} + \frac{y^2}{25} = 1\]
D. \[\frac{x^2}{25} + \frac{y^2}{49} = 1\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F361784a8-d964-492d-9687-5d5c5e192aef%2Fda775752-e33e-4cfc-afdd-97e7d152cd04%2Fxndtbe_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
An ellipse has its center at the origin (0, 0) and vertices on the \( y \)-axis. The minor axis has a length of 10, and the major axis has a length of 14. Find the equation of the ellipse.
**Options:**
A. \[\frac{x^2}{7} + \frac{y^2}{5} = 1\]
B. \[\frac{x^2}{100} + \frac{y^2}{196} = 1\]
C. \[\frac{x^2}{49} + \frac{y^2}{25} = 1\]
D. \[\frac{x^2}{25} + \frac{y^2}{49} = 1\]
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Doesn't the length of the major axis = 2?, and doesn't the minor axis = 2b?
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