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

Find the equation of the hyperbola, the length of whose latusrectum is 8 and eccentricity is `3//sqrt(5)dot`

Text Solution

Verified by Experts

The correct Answer is:
`4x^(2)-5y^(2)=100`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11E|5 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11F|10 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11C|24 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 the hyperbola , the length of whose latus rectum is 4 and the eccentricity is 3.

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.

Find the equation of the hyperbola whose: focus is (2,2) directrix is x+y=9 and eccentricity =2

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

Find the equation of the hyperbola whose : focus is (1,1) directrix is 3x+4y+8=0 and eccentricity =2

Find the equation of the hyperbola whose: focus is (0,3) directrix is x+y-1=0 and eccentricity =2 .

Find the equation of the hyperbola whose : focus is (2,-1) directrix is 2x+3y=1 and eccentricity =2

Find the equation of the hyperbola whose: focus is (1,1) directrix is 2x+y=1 and eccentricity =sqrt(3)

Find the equation of the hyperbola whose directrix is 2x+y=1, focus (1,2) and eccentricity sqrt(3).