Engineering Board Exam Reviewer · Ellipses · medium

Find the equation of the ellipse with center at the origin, vertices at ( 6,0) and a minor axis of length 8.

  1. x236 + y216 = 1
  2. x236 + y264 = 1
  3. x236 + y28 = 1
  4. x26 + y24 = 1

Answer

A. x236 + y216 = 1

Solution

a=6 and 2b=8 b=4. The equation is x2/36+y2/16=1.

More Ellipses questions

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

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