To find: The center, vertices, foci, and eccentricity of the ellipse and sketch the ellipse.
Answer to Problem 27RE
The center, vertices, foci, and eccentricity of the ellipse and sketch of the ellipse are
Explanation of Solution
Given information:
The equation of the ellipse is
Calculation:
Consider the equation of ellipse.
The standard equation of an ellipse with centre
The vertices and foci of this ellipse are at vertices
Compare equation (1) and (2).
From above equation
So the center of the ellipse is at the point
Substitute the values of
Hence, the foci are at the points
The eccentricity of the ellipse is
Draw the sketch for the ellipse by using the calculated characteristics.
Figure-(1)
Therefore, the center, vertices, foci, and eccentricity of the ellipse and sketch of the ellipse are
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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