   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. 16 x 2 + y 2 = 16

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

Explanation

Given: 16x2+y2=16

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

x2+y242=1

Divide both sides by the value in the R.H.S to get,

x2+y216=1

x2+y242=1

Since the provided ellipse 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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