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 and vertices of the hyperbola.

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|1 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Subjective Type Questions|6 Videos

  • HYPERBOLA

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

  • GRAPHICAL TRANSFORMATIONS

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

  • INDEFINITE INTEGRAL

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

Similar Questions

Explore conceptually related problems

Show that the equation : 16x^2 -3y^2-32x -12y- 44 = 0 represents a hyperbola , and find the lengths of the axes and eccentricity.

Find the lengths of transverse and conjugate axes, co-ordinates of foci, vertices and the eccentricity for the following hyperbola : 3x^2 -2y^2=1 .

Find the lengths of transverse and conjugate axes, co-ordinates of foci, vertices and the eccentricity for the following hyperbola : 16x^2 -9y^2 =144 .

Find the lengths of transverse and conjugate axes, co-ordinates of foci, vertices and the eccentricity for the following hyperbola : 2x^2 -3y^2 -6= 0 .

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

Find the co-ordinate of the foci, the vertices, the lengths of major and minor axes and eccentricity of the ellipse 9x^(2) + 4y^(2) = 36 .

Find the coordinates of foci, vertices, eccentricity, latus rectum and major and minor axis of the ellipse x^2/100+y^2/25=1 .

Show that 4x^2+8x+y^2-4y+4=0 represents an ellipse. Find its eccentricity, co-ordinates of foci, equations of major and minor axes and latus-rectum.