Engineering Board Exam Reviewer · Ellipses · medium

A point on the ellipse 4x2+9y2=36 has x=2 and y>0. Find its y-coordinate.

1. 2.22
2. 1.33
3. 3.33
4. 1.49

Answer

D. 1.49

Solution

4(2)2+9y2=36 9y2=20 y=2 5/3 1.49.

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1. The major axis of an ellipse is twice its minor axis. Find the eccentricity.
2. Find the area enclosed by the ellipse x2/16+y2/9=1.
3. For any point on the ellipse 9x2+25y2=225, find the sum of its distances from the two foci.
4. Find the foci of the ellipse (x-2)2/25+(y+1)2/9=1.
5. Find the length of the latus rectum of the ellipse x2/36+y2/20=1.
6. Find the equation of the ellipse with foci at ( 3,0) and a major axis of length 10.
7. Find the eccentricity of the ellipse x2/25+y2/9=1.
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9. Find the length of the major axis of the ellipse x2/25+y2/9=1.
10. Find the distance from the center of the ellipse x2/25+y2/9=1 to each directrix.

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