Home
Class 11
MATHS
Find the equations of the hyperbola sati...

Find the equations of the hyperbola satisfying the given conditions :Foci `(+-5,0)`, the transverse axis is of length 8.

Text Solution

Verified by Experts

It is given that, foci `(+-5,0)` the transverse axis is of length `8`
Here the foci are ont x-axis
Therefore, the equation of the hyperbola is of the form `(x^2)/(a^2)-(y^2)/(b^2)=1`
since the foci are `(+-5,0)=>ae=c=5`
...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT ENGLISH|Exercise EXERCISE 11.3|20 Videos

  • CONIC SECTIONS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|19 Videos

  • CONIC SECTIONS

    NCERT ENGLISH|Exercise EXERCISE 11.1|15 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT ENGLISH|Exercise All Questions|75 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 12.1|4 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the hyperbola satisfying the given conditions :Foci (0,+-13) , the conjugate axis is of length 24.

Find the equations of the hyperbola satisfying the given conditions :Foci (+-3sqrt(5),0) , the latus rectum is of length 8.

Find the equations of the hyperbola satisfying the given conditions :Foci (+-4,0) , the latus rectum is of length 12

In each of the following find the equations of the hyperbola satisfying he given condition: foci (+-5,0) transverse axis =8

Find the equations of the hyperbola satisfying the given conditions :Vertices (+-7,0) , e=4/3

Find the equation for the ellipse that satisfies the given conditions:Foci (+-3,0),a=4

Find the equation of the ellipse that satisfies the given conditions: Foci (pm3,0),a=4

Find the equations of the hyperbola satisfying the given conditions :Foci (0,+-sqrt(10)) , passing through (2,3)

Find the equations of the hyperbola satisfying the given conditions :Vertices (0,+-5),f o c i (0,+-8)

In each of the following find the equations of the hyperbola satisfying the given condition: foc i\ (+-3sqrt(5),0) , the latus rectum =8