Chapter 10.1, Problem 34E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Finding the Standard Equation of an Ellipse In Exercises 31-36, find the standard form of the equation of the ellipse with the given characteristics. Foci: ( 0,   ±9 ) Major   axis   length: 22

To determine

To calculate: The standard equation of ellipse with the characteristics Foci=(0,±9) and major axis length is 22.

Explanation

Given:

The characteristics of an ellipse are: Foci=(0,Â±9) and Major axis length is 22.

Formula used:

The standard equation of an ellipse is, x2a2+y2b2=1.

Calculation:

Since the ellipse changes its length in the yâˆ’axis, so the ellipse with Foci=(0,Â±9) is of the second type, with centre as the mid-point of both the foci (0,0).

Now c in this case is given as 9 and the length of the major axis is given as 22 so, 2b=22

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