Engineering Board Exam Reviewer · Ellipses · medium

The major axis of an ellipse is twice its minor axis. Find the eccentricity.

  1. 1/2
  2. sqrt(2)2 0.707
  3. sqrt(3)2 0.866
  4. 3/4

Answer

C. sqrt(3)2 0.866

Solution

a=2b, so e=sqrt(1-b2/a2)=sqrt(1- 14)= 3/2 0.866.

More Ellipses questions

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

All Ellipses questions