   Chapter 10.1, Problem 25E

Chapter
Section
Textbook Problem

# Sketching an Ellipse In Exercises 25–30, find the center, foci, vertices, and eccentricity of the ellipse, and sketch its graph. ( x − 3 ) 2 16 + ( y − 1 ) 2 25 = 1

To determine
The centre, vertex, foci and eccentricity of the provided ellipse and sketch its graph.

Explanation

Given: (x3)216+(y1)225=1

Explanation: Since the standard form of the ellipse is (xh)2a2+(yk)2b2=1 where a is the major axis and b is the minor axis with (h, k) as centre.

(x3)216+(y1)225=1

Since for the provided ellipse in this case has more value on b than a, the major axis in this case is the y axis, that means it is an ellipse of the second type

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