Home
Class 12
MATHS
The focus and the correspondin directrix...

The focus and the correspondin directrix of a hyperbola are (1-3) and y=2 and eccentricity is 3/2. Find the equation of the hyperbola.

Text Solution

Verified by Experts

The correct Answer is:
`4x^(2)-5y^(2)-8x+60y+4=0`
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.1 (Long Answer Questions)|2 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.2 (Very Short Answer Questions)|4 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.1 (Very Short Answer Questions)|4 Videos
  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

Similar Questions

Explore conceptually related problems

One of the foci of the hyperbola is origin and the corresponding directrix is 3x + 4y + 1=0 .The eccentricity of the hyperbola is sqrt 5 .The equation of the hyperbola is

Find the equation of the hyperbola whose foci are (6,4) and (-4,4) and eccentricity is 2.

Equation of the hyperbola with foci (+-2 ,0) and eccentricity 3/2 is

The vertices of a hyperbola are (2,0 ) ,( -2,0) and the foci are (3,0) ,(-3,0) .The equation of the hyperbola is

One focus of a hyperbola is located at the point (1,-3) and the corresponding directrix is the line y=2. Find the equation of the hyperbola if its eccentricty is (3)/(2) .

One focus of a hyperbola is located at the point (1, -3) and the corresponding directrix is the line y = 2. Find the equation of the hyperbola if its eccentricity is (3)/(2)

The equation of the hyperbola whose foci are ( +- 5,0) and eccentricity 5/3 is

Find the asymptotes of the hyperbola xy-3y-2x=0

If the eccentricity of a hyperbola is (5)/(3) , then the eccentricity of its conjugate hyperbola is