Engineering Board Exam Reviewer · Hyperbolas · medium

The point P lies on the rectangular hyperbola xy=18 and has x=3. Find its distance from the origin.

1. 6
2. 6.71
3. 9
4. 4.24

Answer

B. 6.71

Solution

y=18/3=6, so OP=sqrt(32+62)=sqrt(45)=6.71.

More Hyperbolas questions

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

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