Engineering Board Exam Reviewer · Hyperbolas · hard

Find the distance between the two directrices of the hyperbola x2/16-y2/9=1.

  1. 16/5
  2. 8/5
  3. 32/5
  4. 64/5

Answer

C. 32/5

Solution

The directrices are x= 2/c= 16/5, so they are 32/5=6.4 apart.

More Hyperbolas questions

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

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