Engineering Board Exam Reviewer · Ellipses · easy

Find the length of the major axis of the ellipse x2/25+y2/9=1.

  1. 5
  2. 6
  3. 10
  4. 25

Answer

C. 10

Solution

a2=25 a=5, so the major axis is 2a=10.

More Ellipses questions

  1. Find the distance from the center of the ellipse x2/25+y2/9=1 to each directrix.
  2. Find the area of the largest rectangle that can be inscribed in the ellipse x2/25+y2/9=1.
  3. Find the distance between the foci of the ellipse 4x2+9y2-16x+18y-11=0.
  4. Find the equation of the ellipse with center at the origin, vertices at ( 6,0) and a minor axis of length 8.
  5. A point on the ellipse 4x2+9y2=36 has x=2 and y>0. Find its y-coordinate.
  6. The major axis of an ellipse is twice its minor axis. Find the eccentricity.
  7. Find the area enclosed by the ellipse x2/16+y2/9=1.
  8. For any point on the ellipse 9x2+25y2=225, find the sum of its distances from the two foci.
  9. Find the foci of the ellipse (x-2)2/25+(y+1)2/9=1.
  10. Find the length of the latus rectum of the ellipse x2/36+y2/20=1.

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