Home
Class 11
MATHS
Find the equation of the hyperbola where...

Find the equation of the hyperbola where foci are `(0,+-12)` and the length of the latus rectum is `36`.

Text Solution

Verified by Experts

The correct Answer is:
`(y^(2))/(36)-(x^(2))/(108)=1,i.e.,3y^(2)-x^(2)=108`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT TELUGU|Exercise Exercise 11.1|15 Videos
  • CONIC SECTIONS

    NCERT TELUGU|Exercise Exercise 11.2|12 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

The equation of the hyperbola whose foci are ( +- 5,0) and eccentricity 5/3 is

Find the equation of the hyperbola whose foci are (1,2), e=sqrt3 and the directrix is 2x+y=1.

Find the equation of the hyperbola whose foci are (+-5,0) the transverse axis is of length 8.

Find the equation of the hyperbola whose foci are (+-5,0) the transverse axis is of length 8.

Equation of the hyperbola with foci (+-2 ,0) and eccentricity 3/2 is

Find the equations of the hyperbola whose foci are (pm 5, 0) , the transverse axis is of length 8.

Find the equation of parabola whose focus is (4,5) and vertex is (3,6). Also find the length of the latus rectum.

Find the equation of the hyperbola with foci (0,+-3) and vertices (0,+-(sqrt(11))/(2))