Home
Class 12
MATHS
Find the centre, eccentricity, foci and ...

Find the centre, eccentricity, foci and directrices of the hyperbola : `16 x^2-9y^2+32 x+36 y-164=0`

Text Solution

Verified by Experts

The correct Answer is:
`e = 5/3, (4, 2) , (-6, 2), x = 4/5`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HYPERBOLA

    FIITJEE|Exercise Exercise - 2|4 Videos
  • HYPERBOLA

    FIITJEE|Exercise Exercise - 3|6 Videos
  • HYPERBOLA

    FIITJEE|Exercise SOLVED PROBLEMES (OBJECTIVE)|27 Videos
  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos
  • INDEFINTE INTEGRAL

    FIITJEE|Exercise EXERCISE-8|1 Videos

Similar Questions

Explore conceptually related problems

Find the centre,eccentricity,foci and directrices of the hyperbola: 16x^(2)-9y^(2)+32x+36y-164=0

Find the centre,eccentricity,foci and directrices of the hyperbola: x^(2)-y^(2)+4x=0

Find the centre,eccentricity,foci and directrices of the hyperbola: x^(2)-3y^(2)-2x=8

Find the centre, eccentrcity, foci and directrices of the hyperboal : 9x^(2) - 16y^(2) + 18x + 32y - 151 = 0 .

Find the length of the transverse and conjugate axes, eccentricity, centre, foci and directrices of the hyperbola . 9x^2 - 16y^2 - 72x + 96y - 144 = 0

Find the centre, eccentricity and foci of the hyperbola, 9x^2 - 16y^2 - 18x - 64y-199 = 0

Find the length of the transverse axis, conjugate axis, eccentricity, vertices, foci and directrices of the hyperbola 9x^2 - 16y^2 = 144 .

Find the length of axes, eccentricity, centre, foci and latus rectum of the hyperbola 16x^2 - 3y^2 - 32x - 12y - 44 = 0 .

Find the centre, eccentricity and length of axes of the hyperbola 3x^(2)-5y^(2)-6x+20y-32=0 .

Find the coordinates to the vertices, the foci, the eccentricity and the equation of the directrices of the hyperbola : 16y^2 - 4x^2 = 1