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

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

Text Solution

Verified by Experts

The correct Answer is:
`(y^(2))/((11/(4)))-(x^(2))/(((25)/(4)))=1,i.e.,100y^(2)-44x^(2)=275`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

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

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

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

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the hyperbola whose foci are (8,3)a n d(0,3) and eccentricity is 4/3dot

Find the equation of the hyperbola whose vertices are (+-4,0) and foci (+-6,0) .

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

In each of the find the equations of the hyperbola satisfying the given conditions. Foci (0,+-sqrt(10)) , passing through (2,3)

Find the equation of a hyperbola, having foci (+- 7. 0) and its eccentricity is 4//3 .

In each of the find the equations of the hyperbola satisfying the given conditions. Vertices (0,+-3) , foci (0,+-5)

In each of the find the equations of the hyperbola satisfying the given conditions. Vertices (0,+-5) , foci (0,+-8)

Find the equation of the hyperbola whose eccentricity is 3, focus is (-1,1) and equation of directrix is x - y + 3 = 0.

In each of the find the equations of the hyperbola satisfying the given conditions. Vertices (+-7,0) , e=(4)/(3) .

In each of the find the equations of the hyperbola satisfying the given conditions. Vertices (+-2,0) , foci (+-3,0)