Home
Class 12
MATHS
One focus of a hyperbola is located at t...

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)`.

Answer

Step by step text solution for 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). by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HYPERBOLA

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise VSAQ|1 Videos

  • HYPERBOLA

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SAQ|2 Videos

  • HYPERBOLA

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SAQ|2 Videos

  • ELLIPSE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 4(B)|15 Videos

  • INTEGRATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE LAQ - 8 MARKS|9 Videos

Similar Questions

Explore conceptually related problems

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 foci of a hyperbola coincide with the foci of the ellipse (x^(2))/(25) + (y^(2))/(9) = 1 . Find the equation of the hyperbola, if its eccentricity is 2

Knowledge Check

  • A conic has latus rectum length 1, focus at (2,3) and the corresponding directrix is x+y -3=0 . Then the conic is

    A
    a parabola
    B
    an ellipse
    C
    a hyperbola
    D
    a rectangular hyperbola

  • 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

    A
    ` 4x ^(2) + 11y ^(2) + 24xy + 6x + 8y + 1=0`
    B
    ` 8x^(2) + 9y^(2) + 24 xy + 6x + 6y+1 =0`
    C
    ` 8x^(2) + 9y^(2) + 24xy + 6x+ 8y +1=0 `
    D
    ` 8x^(2) + 9y^(2) -24xt + 6x + 8y + 1=0`

  • i: The equation of the conic with focus at (1,-1) directrix along x-y+1 =0 and with eccentricity sqrt2 is 2xy -4x+ 4y + 1=0 II : One of the foci of the hyperbola is origin and the corresponding directrix is 3x+ 4y + 1=0 .The eccentricity of the hyperbola sqrt 5 .The equation of the hyperbola is 4x^(2) +11y ^(2) + 24xy + 6x+ 8y + 1=0

    A
    only I is true
    B
    only II is true
    C
    both I and II are ture
    D
    neither I nor II true

    • Similar Questions

    Explore conceptually related problems

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

    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.

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

    Find the equation of hyperbola whose focus (1, -3), eccentricity 3/2 coresponding directrix y = 2.

    If a hyperbola has one focus at the origin and its eccentricity is sqrt2 .One of the directrices is x+y+1=0 . Then the centre of the hyperbola is

    Home
    Profile