Home
Class 12
MATHS
Tangents are drawn from (-2,1) to the hy...

Tangents are drawn from (-2,1) to the hyperola `2x^(2)-3y^(2)=6`. Find their equations.

Text Solution

Verified by Experts

The correct Answer is:
`3x-y+5=0, x-y+1=0`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.3 (Very Short Answer Questions)|6 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.3 (Short Answer Questions)|2 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.2 (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

Tangents are drawn from (0, 2) to the hyperbola 5x^(2) - y^(2) = 5 . Find their equations.

Find the equation of the pair of tangents drawn from (-1,2) to the hyperola 2x^(2)-3y^(2)=1 .

Knowledge Check

  • Tangents are drawn from the point (-2,-1) to the hyperbola 3x^(2) -2y^(2) =6 is

    A
    `3x-y+5=0,x-y+1=0`
    B
    ` 3x+ y+5=0,x+y+1=0`
    C
    ` 3x-y-5=0,x-y-1=0`
    D
    `3x+y-5=0, x+y-1=0`

  • The equation to the pair of tangents drawn from (1,-2) to the hyperbola 3x^(2) -2y^(2) =6 is

    A
    ` 7x^(2) +4xy -y^(2) -6x-8y-5=0`
    B
    ` 7x^(2) -4xy -2y^(2) -4x -7y -5=0`
    C
    ` 7x^(2) -4xy -y^(2) -6x -8y -5=0`
    D
    `7x^(2) +4xy +y^(2) +6x +8y +5=0`

  • If the tangents drawn from a point on the hyperola x^(2)-y^(2)=a^(2)-b^(2) to the ellipse x^(2)/a^(2)-y^(2)/b^(2)=1 makes angles alpha and beta with transverse axis of the hyperbola, then

    A
    `tan alpha-tan beta=1`
    B
    `tan alpha +tan beta=1`
    C
    `tan alpha tan beta=1`
    D
    `tan alpha tan beta=1`

    • Similar Questions

    Explore conceptually related problems

    Find the area of the triangle formed by two tangents drawn from (3,5) to the circle x^(2)+y^(2)=16 and the chord of contact of (3,5)

    (i) Find the equation of the tangent and normal at (2, 1) on the ellipse 2x^(2) + 3y^(2) = 11 (ii) Find the equaiton of the tangent and normal at (-1,2) on the ellipse x^(2) + 8y^(2) = 33

    Show that the angle between the tangents drawn from (-1,3) to the circle x^(2)+y^(2)=5 is 90^(@) .

    Find the equation of the tangents drawn to the hyperbola 2x^(2)-3y^(2)=6 through (-2,1)

    The slopes of the tangents drawn from (4, 1) to the ellipse x^(2)+2y^(2)=6 are

    Home
    Profile