Home
Class 12
MATHS
Equations of tangents to the hyperbola 4...

Equations of tangents to the hyperbola `4x^(2)-3y^(2)=24` which makes an angle `30^(@)` with y-axis are

A

`sqrt3x+y= pm sqrt10`

B

`sqrt3x-y= pm 10`

C

`sqrt3x-y= pm 5`

D

`sqrt3x-y= pm sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -II|42 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Practice Exercise|55 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Additional Exercise|29 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

The equations of the tangents to the hyperbola 4x^(2) -5y^(2) =20 which make an angle 60 ^(@) with the transverse axis are

The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an angle 30^(@) with the major axis is

The locus of the point of intersection of two tangents to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) = 1 which make an angle 90^(@) with one another is

The equations of the tangents to the hyperbola 3x^(2) -4y^(2) =12 which make equal intercepts on the axes is

AAKASH SERIES-HYPERBOLA-Exercise -I
  1. If the latus rectum of a hyperola forms an equilateral triangle with t...

    Text Solution

    |

  2. The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

    Text Solution

    |

  3. Equations of tangents to the hyperbola 4x^(2)-3y^(2)=24 which makes an...

    Text Solution

    |

  4. The equation of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whic...

    Text Solution

    |

  5. The point of contact of 9x+8y-11=0 to the hyperbola 3x^(2)-4y^(2)=11 i...

    Text Solution

    |

  6. The nummber of tangents to x^(2)//9-y^(2)//4=1 throught (6,2) is

    Text Solution

    |

  7. For all real values of m' the straight line y=mx + sqrt(9m^(2)-4) is a...

    Text Solution

    |

  8. The condition that the line x=my+c may be a tangent of x^(2)/a^(2)-y^(...

    Text Solution

    |

  9. Product of perpendiculars from the foci of x^(2)/4-y^(2)/9=1" to "y=mx...

    Text Solution

    |

  10. If m1, m2, are slopes of the tangens to the hyperbola x^(2)//25-y^(2)/...

    Text Solution

    |

  11. Number of points from where perpendicular tangents can be drawn to the...

    Text Solution

    |

  12. The equation of the auxiliary circle of x^(2)/(16)-y^(2)/(25)=1 is

    Text Solution

    |

  13. Locus of feet of perpendicular from (5,0) to the tangents of (x^(2))/(...

    Text Solution

    |

  14. Find the equation of the normal to the hyperbola x^(2)-3y^(2)=144 at t...

    Text Solution

    |

  15. If S and T are foci of x^(2)/(16)-y^(2)/(9)=1. If P is a point on the...

    Text Solution

    |

  16. Equation of the tangent to the hyperbola 4x^(2)-9y^(2)=1 with eccentri...

    Text Solution

    |

  17. Equation of normal to 9x^(2)-25y^(2)=225 at theta=pi//4 is

    Text Solution

    |

  18. The equation to the pair of asymptotes of the hyperbola x^(2)/9-y^(2)/...

    Text Solution

    |

  19. The angle between the asymptotes of the hyperbola x^(2)-y^(2)=2 is

    Text Solution

    |

  20. The angle between the asymptotes of the hyperbola xy= a^2 is

    Text Solution

    |