Home
Class 11
MATHS
Find the equation of Hyperbola satisfyin...

Find the equation of Hyperbola satisfying the following conditions: Vertices `(0,pm3)` foci `(0,pm5)`

Text Solution

Verified by Experts

Vertices `(0,pm3)` foci `(0,pm5)`
`:.` The transverse axis of hyperbola is along y-axis.
`:.b=3andbe=5`
`rArrb^(2)=9andb^(2)e^(2)=25`
`:.a^(2)e^(2)-b^(2)=25-9-16`
and equation of hyperbola
`(y^(2))/(b^(2))-(x^(2))/(a^(2))=1rArr(y^(2))/(9)-(x^(2))/(16)=1`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|8 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11.3|20 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|20 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of Hyperbola satisfying the following conditions: Vertices (0,pm5) , foci (0,pm8)

Find the equation of Hyperbola satisfying the following conditions: Vertices (pm2,0) , foci (pm3,0)

Find the equation of Hyperbola satisfying the following conditions: Vertices (pm7,0),e=(4)/(3) .

Find the equation of the hyperbola satisfying the given conditions : (i) Vertices (0, pm 3), , foci (0, pm 5) (ii) Vertices (0, pm 5) , foci (0 , pm 8 )

Find the equations of the hyperbola satisfying the given conditions: Vertices (0,+-3), foci (0,+-5)

Find the equations of the hyperbola satisfying the given conditions: Vertices (0,+-5), foci (0,+-8)

In each of the following find the equations of the hyperbola satisfying he given condition: vertices (0,+-3) foci (0,+-5)

Find the equation of the ellipse that satisfies the given conditions: Vertices (0,pm13) , foci (0,pm5)

find the equations of the hyperbolas satisfying the following conditions vertices (0,+-7),e=(4)/(3)

Find the equation of the ellipse satisfying the following conditions: (i) Vertices at ( pm 13, 0 ), foci at (pm 5,0) (ii) Foci at (pm 3, 0 ) passing through (4,1 )