Engineering Board Exam Reviewer · Hyperbolas · medium

Find the eccentricity of the hyperbola x2/16-y2/9=1.

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

Answer

D. 5/4

Solution

c=5 and a=4, so e=c/a= 54.

More Hyperbolas questions

  1. Find the equations of the asymptotes of the hyperbola x2/16-y2/9=1.
  2. Find the foci of the hyperbola x2/16-y2/9=1.
  3. Find the length of the transverse axis of the hyperbola x2/16-y2/9=1.
  4. Find the distance between the foci of the hyperbola 9x2-16y2-36x-32y-124=0.
  5. Find the distance between the two directrices of the hyperbola x2/16-y2/9=1.
  6. The point P lies on the rectangular hyperbola xy=18 and has x=3. Find its distance from the origin.
  7. For any point on the hyperbola x2/25-y2/144=1, find the absolute difference of its distances from the two foci.
  8. Find the vertices of the hyperbola (x-1)2/9-(y+2)2/4=1.
  9. Find the equation of the hyperbola with vertices at (0, 4) and asymptotes y= 2x.
  10. Find the length of the latus rectum of the hyperbola x2/9-y2/16=1.

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