Chapter 11: Q. 282 (page 1157)

In the following exercises, graph each ellipse.
$\frac{x^{2}}{36} + \frac{y^{2}}{25} = 1$

Short Answer

Expert verified

The required graph of ellipse is

Step by step solution

Step 1. Given Information

The given equation is $\frac{x^{2}}{36} + \frac{y^{2}}{25} = 1$

Step 2. Explanation

We will first determine whether the major axis is horizontal or vertical.

As $36 > 25$ and 36 is in the $x^{2}$ term, so the major axis is horizontal.

The end points of the major axis.

$a^{2} = 36 a = \pm \sqrt{36} a = \pm 6$

The end points of major axis are $(- 6, 0) a n d (6, 0)$

The end points of the minor axis.

$b^{2} = 25 b = \pm \sqrt{25} b = \pm 5$

The end points of minor axis are $(0, - 5) a n d (0, 5)$

Step 3. Graph

The graph of ellipse is shown below,

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, graph each ellipse.
$\frac{x^{2}}{36} + \frac{y^{2}}{25} = 1$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

Step 3. Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Probability and Statistics

Geometry

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph each ellipse.x236+y225=1

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

Step 3. Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Probability and Statistics

Geometry

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph each ellipse.
$\frac{x^{2}}{36} + \frac{y^{2}}{25} = 1$