Engineering Board Exam Reviewer · Hyperbolas · medium

Find the length of the latus rectum of the hyperbola x2/9-y2/16=1.

  1. 16/3
  2. 32/3
  3. 64/3
  4. 8/3

Answer

B. 32/3

Solution

a=3 and b2=16. LR=2b2/a=32/3 10.67.

More Hyperbolas questions

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

All Hyperbolas questions