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

Find the equation of the hyperbola whole transverse and conjugate axes are 8 and 6 respectively.

Text Solution

Verified by Experts

Transverse axis `2a=8" "rArr" "a=4`
conjugate axis `2b=6" "rArr" "b-3`
`:.` Equation of hyperbola
`(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`
`rArr" "(x^(2))/(4^(2))-(y^(2))/(3^(2))=1`
`rArr" "9x^(2)-16y^(2)=144`.
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Example|3 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11A|38 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 whose transverse axis is 10 conjugate axis is 6.

Find the equation of the hyperbola whose axes (transverse and conjugate axis) are parallel to x axis and y axis and centre is origin.Length of latus rectum lengthis 18 unit and distance between focies is 12unit.

Find the equation of hyperbola whose conjugate axis = latus-rectum = 8 ,

If the length of the transverse and conjuigate axes of hyperbola be 8 and 6 respectively, then the difference of focal distance of any point of the hyperbola will be

For hyperbola, If transverse axis = conjugate axis , then e =

Find the equation of the hyperbola whose foci are (+-5,0) and the conjugate axis is of the length 8. Also ,Find its eccentricity .

Find the equation of the hyperbola in which the length of conjugate axis is 5 and the distance between foci is 13.

Find the equation of the hyperbola, the length of whose latus rectum is 8 , eccentricity is 3/sqrt(5) and whose transverse and conjugate axes are along the x and y axes respectively.