Home
Class 12
MATHS
Show that the equation 7x^(2)-9y^(2)+54...

Show that the equation `7x^(2)-9y^(2)+54x-28y-116=0` represent a hyperbola. Find the coordinate of the centre, lenghts of transverse and conjugate axes, eccentricity, latusrectum, coordinates of foci, vertices and directrices of the hyperbola.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples : Subjective Type Questions|3 Videos

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|18 Videos

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

Show that the equation 9 x^2-16 y^2-18 x+32 y-151=0 represents a hyperbola. Find the coordinates of the centre, lengths of the axes, eccentricity, latus-rectum, coordinates of foci and vertices, equations of the directrices of the hyperbola.

Show that the equation 9 x^2-16 y^2-18 x+32 y-151=0 represents a hyperbola. Find the coordinates of the centre, lengths of the axes, eccentricity, latus-rectum, coordinates of foci and vertices, equations of the directrices of the hyperbola.

Show that the equation 9 x^2-16 y^2-18 x+32 y-151=0 represents a hyperbola. Find the coordinates of the centre, lengths of the axes, eccentricity, latus-rectum, coordinates of foci and vertices, equations of the directrices of the hyperbola.

Show that the equation 9x^2-16 y^2-18 x+32 y-151=0 represents a hyperbola.

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

Find the axes, eccentricity, latus rectum and the coordinates of the foci of the hyperbola 25 x^2-36 y^2=225.

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

Show that the equation 9x^2 - 16y^2 - 18x-64y-199=0 represents a hyperbola. Fof this hyperbola, find the length of axes, eccentricity, centre, foci, vertices, latus rectum and directrices.

For the following hyperbolas find the lengths of transverse and conjugate axes, eccentricity and coordinates of foci and vertices, length of the latus-rectum, equations of the directrices: 6x^2-9y^2=144 3x^2-6y^2=-18

Find the coordinates of the foci and the center of the hyperbola, x^2-3y^2-4x=8

Home
Profile