Engineering Board Exam Reviewer · Ellipses · easy

Find the eccentricity of the ellipse x2/25+y2/9=1.

1. 4/5
2. 3/5
3. 3/4
4. 5/4

Answer

A. 4/5

Solution

e=c/a=4/5, since c=sqrt(25-9)=4.

More Ellipses questions

1. Find the foci of the ellipse x2/25+y2/9=1.
2. Find the length of the major axis of the ellipse x2/25+y2/9=1.
3. Find the distance from the center of the ellipse x2/25+y2/9=1 to each directrix.
4. Find the area of the largest rectangle that can be inscribed in the ellipse x2/25+y2/9=1.
5. Find the distance between the foci of the ellipse 4x2+9y2-16x+18y-11=0.
6. Find the equation of the ellipse with center at the origin, vertices at ( 6,0) and a minor axis of length 8.
7. A point on the ellipse 4x2+9y2=36 has x=2 and y>0. Find its y-coordinate.
8. The major axis of an ellipse is twice its minor axis. Find the eccentricity.
9. Find the area enclosed by the ellipse x2/16+y2/9=1.
10. For any point on the ellipse 9x2+25y2=225, find the sum of its distances from the two foci.

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